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Finding the Third Proportional to 60,024 and 138,969

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Solution

The third proportional to 60,024 and 138,969 is: 321,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,024 : 138,969 = 138,969 : x
  2. Step 2: Convert to fraction form
    60,024/138,969 = 138,969/x
  3. Step 3: Cross multiply
    60,024x = 138,969 × 138,969
  4. Step 4: Simplify right side
    60,024x = 19,312,382,961
  5. Step 5: Solve for x
    x = 19,312,382,961/60,024
  6. Step 6: Final answer
    x = 321,744.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.