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Finding the Third Proportional to 59,729 and 90,359

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Solution

The third proportional to 59,729 and 90,359 is: 136,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,729 : 90,359 = 90,359 : x
  2. Step 2: Convert to fraction form
    59,729/90,359 = 90,359/x
  3. Step 3: Cross multiply
    59,729x = 90,359 × 90,359
  4. Step 4: Simplify right side
    59,729x = 8,164,748,881
  5. Step 5: Solve for x
    x = 8,164,748,881/59,729
  6. Step 6: Final answer
    x = 136,696.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.