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Finding the Third Proportional to 60,734.50 and 132,522

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Solution

The third proportional to 60,734.50 and 132,522 is: 289,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,734.50 : 132,522 = 132,522 : x
  2. Step 2: Convert to fraction form
    60,734.50/132,522 = 132,522/x
  3. Step 3: Cross multiply
    60,734.50x = 132,522 × 132,522
  4. Step 4: Simplify right side
    60,734.50x = 17,562,080,484
  5. Step 5: Solve for x
    x = 17,562,080,484/60,734.50
  6. Step 6: Final answer
    x = 289,161.52

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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.