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Finding the Third Proportional to 111,574.97 and 169,975.97

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Solution

The third proportional to 111,574.97 and 169,975.97 is: 258,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574.97 : 169,975.97 = 169,975.97 : x
  2. Step 2: Convert to fraction form
    111,574.97/169,975.97 = 169,975.97/x
  3. Step 3: Cross multiply
    111,574.97x = 169,975.97 × 169,975.97
  4. Step 4: Simplify right side
    111,574.97x = 28,891,829,952.50
  5. Step 5: Solve for x
    x = 28,891,829,952.50/111,574.97
  6. Step 6: Final answer
    x = 258,945.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.