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Finding the Third Proportional to 60,285 and 130,948

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Solution

The third proportional to 60,285 and 130,948 is: 284,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,285 : 130,948 = 130,948 : x
  2. Step 2: Convert to fraction form
    60,285/130,948 = 130,948/x
  3. Step 3: Cross multiply
    60,285x = 130,948 × 130,948
  4. Step 4: Simplify right side
    60,285x = 17,147,378,704
  5. Step 5: Solve for x
    x = 17,147,378,704/60,285
  6. Step 6: Final answer
    x = 284,438.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.