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Finding the Third Proportional to 102,637.13 and 163,444.50

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Solution

The third proportional to 102,637.13 and 163,444.50 is: 260,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,637.13 : 163,444.50 = 163,444.50 : x
  2. Step 2: Convert to fraction form
    102,637.13/163,444.50 = 163,444.50/x
  3. Step 3: Cross multiply
    102,637.13x = 163,444.50 × 163,444.50
  4. Step 4: Simplify right side
    102,637.13x = 26,714,104,580.25
  5. Step 5: Solve for x
    x = 26,714,104,580.25/102,637.13
  6. Step 6: Final answer
    x = 260,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.