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Finding the Third Proportional to 111,966.75 and 170,866.13

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Solution

The third proportional to 111,966.75 and 170,866.13 is: 260,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966.75 : 170,866.13 = 170,866.13 : x
  2. Step 2: Convert to fraction form
    111,966.75/170,866.13 = 170,866.13/x
  3. Step 3: Cross multiply
    111,966.75x = 170,866.13 × 170,866.13
  4. Step 4: Simplify right side
    111,966.75x = 29,195,232,672.52
  5. Step 5: Solve for x
    x = 29,195,232,672.52/111,966.75
  6. Step 6: Final answer
    x = 260,749.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.