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Finding the Third Proportional to 96,159 and 149,278.50

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Solution

The third proportional to 96,159 and 149,278.50 is: 231,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,159 : 149,278.50 = 149,278.50 : x
  2. Step 2: Convert to fraction form
    96,159/149,278.50 = 149,278.50/x
  3. Step 3: Cross multiply
    96,159x = 149,278.50 × 149,278.50
  4. Step 4: Simplify right side
    96,159x = 22,284,070,562.25
  5. Step 5: Solve for x
    x = 22,284,070,562.25/96,159
  6. Step 6: Final answer
    x = 231,741.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.