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Finding the Third Proportional to 52,597 and 79,442

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Solution

The third proportional to 52,597 and 79,442 is: 119,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597 : 79,442 = 79,442 : x
  2. Step 2: Convert to fraction form
    52,597/79,442 = 79,442/x
  3. Step 3: Cross multiply
    52,597x = 79,442 × 79,442
  4. Step 4: Simplify right side
    52,597x = 6,311,031,364
  5. Step 5: Solve for x
    x = 6,311,031,364/52,597
  6. Step 6: Final answer
    x = 119,988.43

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Why These Related Problems?

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