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Finding the Third Proportional to 58,702 and 88,331

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Solution

The third proportional to 58,702 and 88,331 is: 132,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,702 : 88,331 = 88,331 : x
  2. Step 2: Convert to fraction form
    58,702/88,331 = 88,331/x
  3. Step 3: Cross multiply
    58,702x = 88,331 × 88,331
  4. Step 4: Simplify right side
    58,702x = 7,802,365,561
  5. Step 5: Solve for x
    x = 7,802,365,561/58,702
  6. Step 6: Final answer
    x = 132,914.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.