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Finding the Third Proportional to 60,469 and 130,991

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Solution

The third proportional to 60,469 and 130,991 is: 283,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,469 : 130,991 = 130,991 : x
  2. Step 2: Convert to fraction form
    60,469/130,991 = 130,991/x
  3. Step 3: Cross multiply
    60,469x = 130,991 × 130,991
  4. Step 4: Simplify right side
    60,469x = 17,158,642,081
  5. Step 5: Solve for x
    x = 17,158,642,081/60,469
  6. Step 6: Final answer
    x = 283,759.32

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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.