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Finding the Third Proportional to 60,160 and 130,562

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Solution

The third proportional to 60,160 and 130,562 is: 283,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,160 : 130,562 = 130,562 : x
  2. Step 2: Convert to fraction form
    60,160/130,562 = 130,562/x
  3. Step 3: Cross multiply
    60,160x = 130,562 × 130,562
  4. Step 4: Simplify right side
    60,160x = 17,046,435,844
  5. Step 5: Solve for x
    x = 17,046,435,844/60,160
  6. Step 6: Final answer
    x = 283,351.66

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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.