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Finding the Third Proportional to 101,426.63 and 157,668.75

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Solution

The third proportional to 101,426.63 and 157,668.75 is: 245,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,426.63 : 157,668.75 = 157,668.75 : x
  2. Step 2: Convert to fraction form
    101,426.63/157,668.75 = 157,668.75/x
  3. Step 3: Cross multiply
    101,426.63x = 157,668.75 × 157,668.75
  4. Step 4: Simplify right side
    101,426.63x = 24,859,434,726.56
  5. Step 5: Solve for x
    x = 24,859,434,726.56/101,426.63
  6. Step 6: Final answer
    x = 245,097.72

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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.