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Finding the Third Proportional to 122,748 and 268,926

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Solution

The third proportional to 122,748 and 268,926 is: 589,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,748 : 268,926 = 268,926 : x
  2. Step 2: Convert to fraction form
    122,748/268,926 = 268,926/x
  3. Step 3: Cross multiply
    122,748x = 268,926 × 268,926
  4. Step 4: Simplify right side
    122,748x = 72,321,193,476
  5. Step 5: Solve for x
    x = 72,321,193,476/122,748
  6. Step 6: Final answer
    x = 589,184.29

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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.