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Finding the Third Proportional to 98,725.50 and 153,147.75

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Solution

The third proportional to 98,725.50 and 153,147.75 is: 237,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,725.50 : 153,147.75 = 153,147.75 : x
  2. Step 2: Convert to fraction form
    98,725.50/153,147.75 = 153,147.75/x
  3. Step 3: Cross multiply
    98,725.50x = 153,147.75 × 153,147.75
  4. Step 4: Simplify right side
    98,725.50x = 23,454,233,330.06
  5. Step 5: Solve for x
    x = 23,454,233,330.06/98,725.50
  6. Step 6: Final answer
    x = 237,570.17

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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.