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Finding the Third Proportional to 70,156.13 and 104,957.44

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Solution

The third proportional to 70,156.13 and 104,957.44 is: 157,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,156.13 : 104,957.44 = 104,957.44 : x
  2. Step 2: Convert to fraction form
    70,156.13/104,957.44 = 104,957.44/x
  3. Step 3: Cross multiply
    70,156.13x = 104,957.44 × 104,957.44
  4. Step 4: Simplify right side
    70,156.13x = 11,016,063,686.57
  5. Step 5: Solve for x
    x = 11,016,063,686.57/70,156.13
  6. Step 6: Final answer
    x = 157,022.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.