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Finding the Third Proportional to 98,641.50 and 152,565.75

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Solution

The third proportional to 98,641.50 and 152,565.75 is: 235,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,641.50 : 152,565.75 = 152,565.75 : x
  2. Step 2: Convert to fraction form
    98,641.50/152,565.75 = 152,565.75/x
  3. Step 3: Cross multiply
    98,641.50x = 152,565.75 × 152,565.75
  4. Step 4: Simplify right side
    98,641.50x = 23,276,308,073.06
  5. Step 5: Solve for x
    x = 23,276,308,073.06/98,641.50
  6. Step 6: Final answer
    x = 235,968.72

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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.