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Finding the Third Proportional to 78,016.50 and 124,153.50

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Solution

The third proportional to 78,016.50 and 124,153.50 is: 197,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.50 : 124,153.50 = 124,153.50 : x
  2. Step 2: Convert to fraction form
    78,016.50/124,153.50 = 124,153.50/x
  3. Step 3: Cross multiply
    78,016.50x = 124,153.50 × 124,153.50
  4. Step 4: Simplify right side
    78,016.50x = 15,414,091,562.25
  5. Step 5: Solve for x
    x = 15,414,091,562.25/78,016.50
  6. Step 6: Final answer
    x = 197,574.76

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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.