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Finding the Third Proportional to 137,587 and 212,655

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Solution

The third proportional to 137,587 and 212,655 is: 328,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,587 : 212,655 = 212,655 : x
  2. Step 2: Convert to fraction form
    137,587/212,655 = 212,655/x
  3. Step 3: Cross multiply
    137,587x = 212,655 × 212,655
  4. Step 4: Simplify right side
    137,587x = 45,222,149,025
  5. Step 5: Solve for x
    x = 45,222,149,025/137,587
  6. Step 6: Final answer
    x = 328,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.