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Finding the Third Proportional to 59,125 and 88,456

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Solution

The third proportional to 59,125 and 88,456 is: 132,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,125 : 88,456 = 88,456 : x
  2. Step 2: Convert to fraction form
    59,125/88,456 = 88,456/x
  3. Step 3: Cross multiply
    59,125x = 88,456 × 88,456
  4. Step 4: Simplify right side
    59,125x = 7,824,463,936
  5. Step 5: Solve for x
    x = 7,824,463,936/59,125
  6. Step 6: Final answer
    x = 132,337.66

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