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Finding the Third Proportional to 78,613.50 and 111,129

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Solution

The third proportional to 78,613.50 and 111,129 is: 157,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,613.50 : 111,129 = 111,129 : x
  2. Step 2: Convert to fraction form
    78,613.50/111,129 = 111,129/x
  3. Step 3: Cross multiply
    78,613.50x = 111,129 × 111,129
  4. Step 4: Simplify right side
    78,613.50x = 12,349,654,641
  5. Step 5: Solve for x
    x = 12,349,654,641/78,613.50
  6. Step 6: Final answer
    x = 157,093.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.