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Finding the Third Proportional to 61,349 and 132,364

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Solution

The third proportional to 61,349 and 132,364 is: 285,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,349 : 132,364 = 132,364 : x
  2. Step 2: Convert to fraction form
    61,349/132,364 = 132,364/x
  3. Step 3: Cross multiply
    61,349x = 132,364 × 132,364
  4. Step 4: Simplify right side
    61,349x = 17,520,228,496
  5. Step 5: Solve for x
    x = 17,520,228,496/61,349
  6. Step 6: Final answer
    x = 285,582.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.