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Finding the Third Proportional to 60,412 and 125,072

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Solution

The third proportional to 60,412 and 125,072 is: 258,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,412 : 125,072 = 125,072 : x
  2. Step 2: Convert to fraction form
    60,412/125,072 = 125,072/x
  3. Step 3: Cross multiply
    60,412x = 125,072 × 125,072
  4. Step 4: Simplify right side
    60,412x = 15,643,005,184
  5. Step 5: Solve for x
    x = 15,643,005,184/60,412
  6. Step 6: Final answer
    x = 258,938.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.