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Finding the Third Proportional to 59,222 and 87,931

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Solution

The third proportional to 59,222 and 87,931 is: 130,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,222 : 87,931 = 87,931 : x
  2. Step 2: Convert to fraction form
    59,222/87,931 = 87,931/x
  3. Step 3: Cross multiply
    59,222x = 87,931 × 87,931
  4. Step 4: Simplify right side
    59,222x = 7,731,860,761
  5. Step 5: Solve for x
    x = 7,731,860,761/59,222
  6. Step 6: Final answer
    x = 130,557.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.