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Finding the Third Proportional to 60,112 and 130,592

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Solution

The third proportional to 60,112 and 130,592 is: 283,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,112 : 130,592 = 130,592 : x
  2. Step 2: Convert to fraction form
    60,112/130,592 = 130,592/x
  3. Step 3: Cross multiply
    60,112x = 130,592 × 130,592
  4. Step 4: Simplify right side
    60,112x = 17,054,270,464
  5. Step 5: Solve for x
    x = 17,054,270,464/60,112
  6. Step 6: Final answer
    x = 283,708.25

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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.