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Finding the Third Proportional to 70,534 and 95,753

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Solution

The third proportional to 70,534 and 95,753 is: 129,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534 : 95,753 = 95,753 : x
  2. Step 2: Convert to fraction form
    70,534/95,753 = 95,753/x
  3. Step 3: Cross multiply
    70,534x = 95,753 × 95,753
  4. Step 4: Simplify right side
    70,534x = 9,168,637,009
  5. Step 5: Solve for x
    x = 9,168,637,009/70,534
  6. Step 6: Final answer
    x = 129,988.90

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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.