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Finding the Third Proportional to 122,656 and 182,688

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Solution

The third proportional to 122,656 and 182,688 is: 272,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,656 : 182,688 = 182,688 : x
  2. Step 2: Convert to fraction form
    122,656/182,688 = 182,688/x
  3. Step 3: Cross multiply
    122,656x = 182,688 × 182,688
  4. Step 4: Simplify right side
    122,656x = 33,374,905,344
  5. Step 5: Solve for x
    x = 33,374,905,344/122,656
  6. Step 6: Final answer
    x = 272,101.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.