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Finding the Third Proportional to 59,802.75 and 81,253.13

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Solution

The third proportional to 59,802.75 and 81,253.13 is: 110,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,802.75 : 81,253.13 = 81,253.13 : x
  2. Step 2: Convert to fraction form
    59,802.75/81,253.13 = 81,253.13/x
  3. Step 3: Cross multiply
    59,802.75x = 81,253.13 × 81,253.13
  4. Step 4: Simplify right side
    59,802.75x = 6,602,070,322.27
  5. Step 5: Solve for x
    x = 6,602,070,322.27/59,802.75
  6. Step 6: Final answer
    x = 110,397.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.