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Finding the Third Proportional to 64,264.13 and 102,623.25

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Solution

The third proportional to 64,264.13 and 102,623.25 is: 163,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,264.13 : 102,623.25 = 102,623.25 : x
  2. Step 2: Convert to fraction form
    64,264.13/102,623.25 = 102,623.25/x
  3. Step 3: Cross multiply
    64,264.13x = 102,623.25 × 102,623.25
  4. Step 4: Simplify right side
    64,264.13x = 10,531,531,440.56
  5. Step 5: Solve for x
    x = 10,531,531,440.56/64,264.13
  6. Step 6: Final answer
    x = 163,878.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.