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Finding the Third Proportional to 122,476 and 179,518

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Solution

The third proportional to 122,476 and 179,518 is: 263,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,476 : 179,518 = 179,518 : x
  2. Step 2: Convert to fraction form
    122,476/179,518 = 179,518/x
  3. Step 3: Cross multiply
    122,476x = 179,518 × 179,518
  4. Step 4: Simplify right side
    122,476x = 32,226,712,324
  5. Step 5: Solve for x
    x = 32,226,712,324/122,476
  6. Step 6: Final answer
    x = 263,126.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.