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Finding the Third Proportional to 78,003.50 and 115,857.50

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Solution

The third proportional to 78,003.50 and 115,857.50 is: 172,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003.50 : 115,857.50 = 115,857.50 : x
  2. Step 2: Convert to fraction form
    78,003.50/115,857.50 = 115,857.50/x
  3. Step 3: Cross multiply
    78,003.50x = 115,857.50 × 115,857.50
  4. Step 4: Simplify right side
    78,003.50x = 13,422,960,306.25
  5. Step 5: Solve for x
    x = 13,422,960,306.25/78,003.50
  6. Step 6: Final answer
    x = 172,081.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.