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Finding the Third Proportional to 70,546 and 95,703

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Solution

The third proportional to 70,546 and 95,703 is: 129,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546 : 95,703 = 95,703 : x
  2. Step 2: Convert to fraction form
    70,546/95,703 = 95,703/x
  3. Step 3: Cross multiply
    70,546x = 95,703 × 95,703
  4. Step 4: Simplify right side
    70,546x = 9,159,064,209
  5. Step 5: Solve for x
    x = 9,159,064,209/70,546
  6. Step 6: Final answer
    x = 129,831.09

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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.