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Finding the Third Proportional to 59,121 and 86,481

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Solution

The third proportional to 59,121 and 86,481 is: 126,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 86,481 = 86,481 : x
  2. Step 2: Convert to fraction form
    59,121/86,481 = 86,481/x
  3. Step 3: Cross multiply
    59,121x = 86,481 × 86,481
  4. Step 4: Simplify right side
    59,121x = 7,478,963,361
  5. Step 5: Solve for x
    x = 7,478,963,361/59,121
  6. Step 6: Final answer
    x = 126,502.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.