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Finding the Third Proportional to 70,220.53 and 99,359.91

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Solution

The third proportional to 70,220.53 and 99,359.91 is: 140,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,220.53 : 99,359.91 = 99,359.91 : x
  2. Step 2: Convert to fraction form
    70,220.53/99,359.91 = 99,359.91/x
  3. Step 3: Cross multiply
    70,220.53x = 99,359.91 × 99,359.91
  4. Step 4: Simplify right side
    70,220.53x = 9,872,390,970.01
  5. Step 5: Solve for x
    x = 9,872,390,970.01/70,220.53
  6. Step 6: Final answer
    x = 140,591.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.