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Finding the Third Proportional to 60,554 and 132,772

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Solution

The third proportional to 60,554 and 132,772 is: 291,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,554 : 132,772 = 132,772 : x
  2. Step 2: Convert to fraction form
    60,554/132,772 = 132,772/x
  3. Step 3: Cross multiply
    60,554x = 132,772 × 132,772
  4. Step 4: Simplify right side
    60,554x = 17,628,403,984
  5. Step 5: Solve for x
    x = 17,628,403,984/60,554
  6. Step 6: Final answer
    x = 291,118.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.