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Finding the Third Proportional to 57,528 and 89,282

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Solution

The third proportional to 57,528 and 89,282 is: 138,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528 : 89,282 = 89,282 : x
  2. Step 2: Convert to fraction form
    57,528/89,282 = 89,282/x
  3. Step 3: Cross multiply
    57,528x = 89,282 × 89,282
  4. Step 4: Simplify right side
    57,528x = 7,971,275,524
  5. Step 5: Solve for x
    x = 7,971,275,524/57,528
  6. Step 6: Final answer
    x = 138,563.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.