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Finding the Third Proportional to 137,746 and 212,695

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Solution

The third proportional to 137,746 and 212,695 is: 328,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,746 : 212,695 = 212,695 : x
  2. Step 2: Convert to fraction form
    137,746/212,695 = 212,695/x
  3. Step 3: Cross multiply
    137,746x = 212,695 × 212,695
  4. Step 4: Simplify right side
    137,746x = 45,239,163,025
  5. Step 5: Solve for x
    x = 45,239,163,025/137,746
  6. Step 6: Final answer
    x = 328,424.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.