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Finding the Third Proportional to 57,808 and 86,320

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Solution

The third proportional to 57,808 and 86,320 is: 128,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,808 : 86,320 = 86,320 : x
  2. Step 2: Convert to fraction form
    57,808/86,320 = 86,320/x
  3. Step 3: Cross multiply
    57,808x = 86,320 × 86,320
  4. Step 4: Simplify right side
    57,808x = 7,451,142,400
  5. Step 5: Solve for x
    x = 7,451,142,400/57,808
  6. Step 6: Final answer
    x = 128,894.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.