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Finding the Third Proportional to 57,262 and 86,521

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Solution

The third proportional to 57,262 and 86,521 is: 130,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,262 : 86,521 = 86,521 : x
  2. Step 2: Convert to fraction form
    57,262/86,521 = 86,521/x
  3. Step 3: Cross multiply
    57,262x = 86,521 × 86,521
  4. Step 4: Simplify right side
    57,262x = 7,485,883,441
  5. Step 5: Solve for x
    x = 7,485,883,441/57,262
  6. Step 6: Final answer
    x = 130,730.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.