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Finding the Third Proportional to 96,118 and 144,129

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Solution

The third proportional to 96,118 and 144,129 is: 216,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,118 : 144,129 = 144,129 : x
  2. Step 2: Convert to fraction form
    96,118/144,129 = 144,129/x
  3. Step 3: Cross multiply
    96,118x = 144,129 × 144,129
  4. Step 4: Simplify right side
    96,118x = 20,773,168,641
  5. Step 5: Solve for x
    x = 20,773,168,641/96,118
  6. Step 6: Final answer
    x = 216,121.52

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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.