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Finding the Third Proportional to 70,759.13 and 96,148.13

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Solution

The third proportional to 70,759.13 and 96,148.13 is: 130,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,759.13 : 96,148.13 = 96,148.13 : x
  2. Step 2: Convert to fraction form
    70,759.13/96,148.13 = 96,148.13/x
  3. Step 3: Cross multiply
    70,759.13x = 96,148.13 × 96,148.13
  4. Step 4: Simplify right side
    70,759.13x = 9,244,461,941.02
  5. Step 5: Solve for x
    x = 9,244,461,941.02/70,759.13
  6. Step 6: Final answer
    x = 130,646.92

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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.