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Finding the Third Proportional to 52,528 and 81,352

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Solution

The third proportional to 52,528 and 81,352 is: 125,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528 : 81,352 = 81,352 : x
  2. Step 2: Convert to fraction form
    52,528/81,352 = 81,352/x
  3. Step 3: Cross multiply
    52,528x = 81,352 × 81,352
  4. Step 4: Simplify right side
    52,528x = 6,618,147,904
  5. Step 5: Solve for x
    x = 6,618,147,904/52,528
  6. Step 6: Final answer
    x = 125,992.76

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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.