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Finding the Third Proportional to 59,527 and 90,059

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Solution

The third proportional to 59,527 and 90,059 is: 136,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,527 : 90,059 = 90,059 : x
  2. Step 2: Convert to fraction form
    59,527/90,059 = 90,059/x
  3. Step 3: Cross multiply
    59,527x = 90,059 × 90,059
  4. Step 4: Simplify right side
    59,527x = 8,110,623,481
  5. Step 5: Solve for x
    x = 8,110,623,481/59,527
  6. Step 6: Final answer
    x = 136,251.17

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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.