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Finding the Third Proportional to 112,812.75 and 169,241.91

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Solution

The third proportional to 112,812.75 and 169,241.91 is: 253,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,812.75 : 169,241.91 = 169,241.91 : x
  2. Step 2: Convert to fraction form
    112,812.75/169,241.91 = 169,241.91/x
  3. Step 3: Cross multiply
    112,812.75x = 169,241.91 × 169,241.91
  4. Step 4: Simplify right side
    112,812.75x = 28,642,822,831.13
  5. Step 5: Solve for x
    x = 28,642,822,831.13/112,812.75
  6. Step 6: Final answer
    x = 253,897.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.