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Finding the Third Proportional to 70,759 and 96,148.50

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Solution

The third proportional to 70,759 and 96,148.50 is: 130,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,759 : 96,148.50 = 96,148.50 : x
  2. Step 2: Convert to fraction form
    70,759/96,148.50 = 96,148.50/x
  3. Step 3: Cross multiply
    70,759x = 96,148.50 × 96,148.50
  4. Step 4: Simplify right side
    70,759x = 9,244,534,052.25
  5. Step 5: Solve for x
    x = 9,244,534,052.25/70,759
  6. Step 6: Final answer
    x = 130,648.17

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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.