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Finding the Third Proportional to 60,828 and 130,062

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Solution

The third proportional to 60,828 and 130,062 is: 278,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,828 : 130,062 = 130,062 : x
  2. Step 2: Convert to fraction form
    60,828/130,062 = 130,062/x
  3. Step 3: Cross multiply
    60,828x = 130,062 × 130,062
  4. Step 4: Simplify right side
    60,828x = 16,916,123,844
  5. Step 5: Solve for x
    x = 16,916,123,844/60,828
  6. Step 6: Final answer
    x = 278,097.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.