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Finding the Third Proportional to 60,780.38 and 130,923.84

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Solution

The third proportional to 60,780.38 and 130,923.84 is: 282,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,780.38 : 130,923.84 = 130,923.84 : x
  2. Step 2: Convert to fraction form
    60,780.38/130,923.84 = 130,923.84/x
  3. Step 3: Cross multiply
    60,780.38x = 130,923.84 × 130,923.84
  4. Step 4: Simplify right side
    60,780.38x = 17,141,052,862.27
  5. Step 5: Solve for x
    x = 17,141,052,862.27/60,780.38
  6. Step 6: Final answer
    x = 282,016.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.