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Finding the Third Proportional to 70,488 and 95,685

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Solution

The third proportional to 70,488 and 95,685 is: 129,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 95,685 = 95,685 : x
  2. Step 2: Convert to fraction form
    70,488/95,685 = 95,685/x
  3. Step 3: Cross multiply
    70,488x = 95,685 × 95,685
  4. Step 4: Simplify right side
    70,488x = 9,155,619,225
  5. Step 5: Solve for x
    x = 9,155,619,225/70,488
  6. Step 6: Final answer
    x = 129,889.05

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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.