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Finding the Third Proportional to 80,260 and 122,528

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Solution

The third proportional to 80,260 and 122,528 is: 187,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,260 : 122,528 = 122,528 : x
  2. Step 2: Convert to fraction form
    80,260/122,528 = 122,528/x
  3. Step 3: Cross multiply
    80,260x = 122,528 × 122,528
  4. Step 4: Simplify right side
    80,260x = 15,013,110,784
  5. Step 5: Solve for x
    x = 15,013,110,784/80,260
  6. Step 6: Final answer
    x = 187,055.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.