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Finding the Third Proportional to 60,862 and 130,778

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Solution

The third proportional to 60,862 and 130,778 is: 281,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,862 : 130,778 = 130,778 : x
  2. Step 2: Convert to fraction form
    60,862/130,778 = 130,778/x
  3. Step 3: Cross multiply
    60,862x = 130,778 × 130,778
  4. Step 4: Simplify right side
    60,862x = 17,102,885,284
  5. Step 5: Solve for x
    x = 17,102,885,284/60,862
  6. Step 6: Final answer
    x = 281,010.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.