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Finding the Third Proportional to 73,807.50 and 117,499

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Solution

The third proportional to 73,807.50 and 117,499 is: 187,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,807.50 : 117,499 = 117,499 : x
  2. Step 2: Convert to fraction form
    73,807.50/117,499 = 117,499/x
  3. Step 3: Cross multiply
    73,807.50x = 117,499 × 117,499
  4. Step 4: Simplify right side
    73,807.50x = 13,806,015,001
  5. Step 5: Solve for x
    x = 13,806,015,001/73,807.50
  6. Step 6: Final answer
    x = 187,054.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.