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Finding the Third Proportional to 86,332.50 and 187,150.50

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Solution

The third proportional to 86,332.50 and 187,150.50 is: 405,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,332.50 : 187,150.50 = 187,150.50 : x
  2. Step 2: Convert to fraction form
    86,332.50/187,150.50 = 187,150.50/x
  3. Step 3: Cross multiply
    86,332.50x = 187,150.50 × 187,150.50
  4. Step 4: Simplify right side
    86,332.50x = 35,025,309,650.25
  5. Step 5: Solve for x
    x = 35,025,309,650.25/86,332.50
  6. Step 6: Final answer
    x = 405,702.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.