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Finding the Third Proportional to 58,860 and 88,420

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Solution

The third proportional to 58,860 and 88,420 is: 132,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,860 : 88,420 = 88,420 : x
  2. Step 2: Convert to fraction form
    58,860/88,420 = 88,420/x
  3. Step 3: Cross multiply
    58,860x = 88,420 × 88,420
  4. Step 4: Simplify right side
    58,860x = 7,818,096,400
  5. Step 5: Solve for x
    x = 7,818,096,400/58,860
  6. Step 6: Final answer
    x = 132,825.29

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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.