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Finding the Third Proportional to 39,392 and 59,117

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Solution

The third proportional to 39,392 and 59,117 is: 88,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,392 : 59,117 = 59,117 : x
  2. Step 2: Convert to fraction form
    39,392/59,117 = 59,117/x
  3. Step 3: Cross multiply
    39,392x = 59,117 × 59,117
  4. Step 4: Simplify right side
    39,392x = 3,494,819,689
  5. Step 5: Solve for x
    x = 3,494,819,689/39,392
  6. Step 6: Final answer
    x = 88,719.02

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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.