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Finding the Third Proportional to 92,528 and 138,539

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Solution

The third proportional to 92,528 and 138,539 is: 207,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,528 : 138,539 = 138,539 : x
  2. Step 2: Convert to fraction form
    92,528/138,539 = 138,539/x
  3. Step 3: Cross multiply
    92,528x = 138,539 × 138,539
  4. Step 4: Simplify right side
    92,528x = 19,193,054,521
  5. Step 5: Solve for x
    x = 19,193,054,521/92,528
  6. Step 6: Final answer
    x = 207,429.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.