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Finding the Third Proportional to 107,358.75 and 157,830.19

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Solution

The third proportional to 107,358.75 and 157,830.19 is: 232,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,358.75 : 157,830.19 = 157,830.19 : x
  2. Step 2: Convert to fraction form
    107,358.75/157,830.19 = 157,830.19/x
  3. Step 3: Cross multiply
    107,358.75x = 157,830.19 × 157,830.19
  4. Step 4: Simplify right side
    107,358.75x = 24,910,368,086.29
  5. Step 5: Solve for x
    x = 24,910,368,086.29/107,358.75
  6. Step 6: Final answer
    x = 232,029.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.