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Finding the Third Proportional to 106,261.88 and 161,929.69

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Solution

The third proportional to 106,261.88 and 161,929.69 is: 246,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,261.88 : 161,929.69 = 161,929.69 : x
  2. Step 2: Convert to fraction form
    106,261.88/161,929.69 = 161,929.69/x
  3. Step 3: Cross multiply
    106,261.88x = 161,929.69 × 161,929.69
  4. Step 4: Simplify right side
    106,261.88x = 26,221,223,693.85
  5. Step 5: Solve for x
    x = 26,221,223,693.85/106,261.88
  6. Step 6: Final answer
    x = 246,760.41

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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.