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Finding the Third Proportional to 98,565.75 and 152,940.75

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Solution

The third proportional to 98,565.75 and 152,940.75 is: 237,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565.75 : 152,940.75 = 152,940.75 : x
  2. Step 2: Convert to fraction form
    98,565.75/152,940.75 = 152,940.75/x
  3. Step 3: Cross multiply
    98,565.75x = 152,940.75 × 152,940.75
  4. Step 4: Simplify right side
    98,565.75x = 23,390,873,010.56
  5. Step 5: Solve for x
    x = 23,390,873,010.56/98,565.75
  6. Step 6: Final answer
    x = 237,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.