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Finding the Third Proportional to 60,765 and 132,426

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Solution

The third proportional to 60,765 and 132,426 is: 288,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,765 : 132,426 = 132,426 : x
  2. Step 2: Convert to fraction form
    60,765/132,426 = 132,426/x
  3. Step 3: Cross multiply
    60,765x = 132,426 × 132,426
  4. Step 4: Simplify right side
    60,765x = 17,536,645,476
  5. Step 5: Solve for x
    x = 17,536,645,476/60,765
  6. Step 6: Final answer
    x = 288,597.80

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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.