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Finding the Third Proportional to 60,010 and 129,254

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Solution

The third proportional to 60,010 and 129,254 is: 278,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,010 : 129,254 = 129,254 : x
  2. Step 2: Convert to fraction form
    60,010/129,254 = 129,254/x
  3. Step 3: Cross multiply
    60,010x = 129,254 × 129,254
  4. Step 4: Simplify right side
    60,010x = 16,706,596,516
  5. Step 5: Solve for x
    x = 16,706,596,516/60,010
  6. Step 6: Final answer
    x = 278,396.88

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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.