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Finding the Third Proportional to 98,151.75 and 147,966.75

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Solution

The third proportional to 98,151.75 and 147,966.75 is: 223,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,151.75 : 147,966.75 = 147,966.75 : x
  2. Step 2: Convert to fraction form
    98,151.75/147,966.75 = 147,966.75/x
  3. Step 3: Cross multiply
    98,151.75x = 147,966.75 × 147,966.75
  4. Step 4: Simplify right side
    98,151.75x = 21,894,159,105.56
  5. Step 5: Solve for x
    x = 21,894,159,105.56/98,151.75
  6. Step 6: Final answer
    x = 223,064.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.