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Finding the Third Proportional to 105,161.01 and 163,143.21

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Solution

The third proportional to 105,161.01 and 163,143.21 is: 253,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,161.01 : 163,143.21 = 163,143.21 : x
  2. Step 2: Convert to fraction form
    105,161.01/163,143.21 = 163,143.21/x
  3. Step 3: Cross multiply
    105,161.01x = 163,143.21 × 163,143.21
  4. Step 4: Simplify right side
    105,161.01x = 26,615,705,482.66
  5. Step 5: Solve for x
    x = 26,615,705,482.66/105,161.01
  6. Step 6: Final answer
    x = 253,094.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.