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Finding the Third Proportional to 60,131 and 130,509

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Solution

The third proportional to 60,131 and 130,509 is: 283,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,131 : 130,509 = 130,509 : x
  2. Step 2: Convert to fraction form
    60,131/130,509 = 130,509/x
  3. Step 3: Cross multiply
    60,131x = 130,509 × 130,509
  4. Step 4: Simplify right side
    60,131x = 17,032,599,081
  5. Step 5: Solve for x
    x = 17,032,599,081/60,131
  6. Step 6: Final answer
    x = 283,258.20

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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.