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Finding the Third Proportional to 57,582 and 87,257

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Solution

The third proportional to 57,582 and 87,257 is: 132,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582 : 87,257 = 87,257 : x
  2. Step 2: Convert to fraction form
    57,582/87,257 = 87,257/x
  3. Step 3: Cross multiply
    57,582x = 87,257 × 87,257
  4. Step 4: Simplify right side
    57,582x = 7,613,784,049
  5. Step 5: Solve for x
    x = 7,613,784,049/57,582
  6. Step 6: Final answer
    x = 132,225.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.