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Finding the Third Proportional to 98,442 and 152,718.75

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Solution

The third proportional to 98,442 and 152,718.75 is: 236,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 152,718.75 = 152,718.75 : x
  2. Step 2: Convert to fraction form
    98,442/152,718.75 = 152,718.75/x
  3. Step 3: Cross multiply
    98,442x = 152,718.75 × 152,718.75
  4. Step 4: Simplify right side
    98,442x = 23,323,016,601.56
  5. Step 5: Solve for x
    x = 23,323,016,601.56/98,442
  6. Step 6: Final answer
    x = 236,921.40

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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.