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Finding the Third Proportional to 78,117.75 and 170,049.38

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Solution

The third proportional to 78,117.75 and 170,049.38 is: 370,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.75 : 170,049.38 = 170,049.38 : x
  2. Step 2: Convert to fraction form
    78,117.75/170,049.38 = 170,049.38/x
  3. Step 3: Cross multiply
    78,117.75x = 170,049.38 × 170,049.38
  4. Step 4: Simplify right side
    78,117.75x = 28,916,789,937.89
  5. Step 5: Solve for x
    x = 28,916,789,937.89/78,117.75
  6. Step 6: Final answer
    x = 370,169.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.