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Finding the Third Proportional to 80,188.50 and 128,848.50

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Solution

The third proportional to 80,188.50 and 128,848.50 is: 207,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188.50 : 128,848.50 = 128,848.50 : x
  2. Step 2: Convert to fraction form
    80,188.50/128,848.50 = 128,848.50/x
  3. Step 3: Cross multiply
    80,188.50x = 128,848.50 × 128,848.50
  4. Step 4: Simplify right side
    80,188.50x = 16,601,935,952.25
  5. Step 5: Solve for x
    x = 16,601,935,952.25/80,188.50
  6. Step 6: Final answer
    x = 207,036.37

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.