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Finding the Third Proportional to 106,044.75 and 155,503.13

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Solution

The third proportional to 106,044.75 and 155,503.13 is: 228,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.75 : 155,503.13 = 155,503.13 : x
  2. Step 2: Convert to fraction form
    106,044.75/155,503.13 = 155,503.13/x
  3. Step 3: Cross multiply
    106,044.75x = 155,503.13 × 155,503.13
  4. Step 4: Simplify right side
    106,044.75x = 24,181,221,884.77
  5. Step 5: Solve for x
    x = 24,181,221,884.77/106,044.75
  6. Step 6: Final answer
    x = 228,028.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.