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Finding the Third Proportional to 70,404 and 95,646

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Solution

The third proportional to 70,404 and 95,646 is: 129,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,404 : 95,646 = 95,646 : x
  2. Step 2: Convert to fraction form
    70,404/95,646 = 95,646/x
  3. Step 3: Cross multiply
    70,404x = 95,646 × 95,646
  4. Step 4: Simplify right side
    70,404x = 9,148,157,316
  5. Step 5: Solve for x
    x = 9,148,157,316/70,404
  6. Step 6: Final answer
    x = 129,938.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.