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Finding the Third Proportional to 114,407.44 and 169,275.72

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Solution

The third proportional to 114,407.44 and 169,275.72 is: 250,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,407.44 : 169,275.72 = 169,275.72 : x
  2. Step 2: Convert to fraction form
    114,407.44/169,275.72 = 169,275.72/x
  3. Step 3: Cross multiply
    114,407.44x = 169,275.72 × 169,275.72
  4. Step 4: Simplify right side
    114,407.44x = 28,654,270,115.48
  5. Step 5: Solve for x
    x = 28,654,270,115.48/114,407.44
  6. Step 6: Final answer
    x = 250,458.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.