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Finding the Third Proportional to 60,773 and 132,442

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Solution

The third proportional to 60,773 and 132,442 is: 288,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,773 : 132,442 = 132,442 : x
  2. Step 2: Convert to fraction form
    60,773/132,442 = 132,442/x
  3. Step 3: Cross multiply
    60,773x = 132,442 × 132,442
  4. Step 4: Simplify right side
    60,773x = 17,540,883,364
  5. Step 5: Solve for x
    x = 17,540,883,364/60,773
  6. Step 6: Final answer
    x = 288,629.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.