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Finding the Third Proportional to 70,464 and 95,972

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Solution

The third proportional to 70,464 and 95,972 is: 130,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464 : 95,972 = 95,972 : x
  2. Step 2: Convert to fraction form
    70,464/95,972 = 95,972/x
  3. Step 3: Cross multiply
    70,464x = 95,972 × 95,972
  4. Step 4: Simplify right side
    70,464x = 9,210,624,784
  5. Step 5: Solve for x
    x = 9,210,624,784/70,464
  6. Step 6: Final answer
    x = 130,713.91

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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.