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Finding the Third Proportional to 59,436 and 87,334

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Solution

The third proportional to 59,436 and 87,334 is: 128,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,436 : 87,334 = 87,334 : x
  2. Step 2: Convert to fraction form
    59,436/87,334 = 87,334/x
  3. Step 3: Cross multiply
    59,436x = 87,334 × 87,334
  4. Step 4: Simplify right side
    59,436x = 7,627,227,556
  5. Step 5: Solve for x
    x = 7,627,227,556/59,436
  6. Step 6: Final answer
    x = 128,326.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.