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Finding the Third Proportional to 61,359 and 133,823

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Solution

The third proportional to 61,359 and 133,823 is: 291,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,359 : 133,823 = 133,823 : x
  2. Step 2: Convert to fraction form
    61,359/133,823 = 133,823/x
  3. Step 3: Cross multiply
    61,359x = 133,823 × 133,823
  4. Step 4: Simplify right side
    61,359x = 17,908,595,329
  5. Step 5: Solve for x
    x = 17,908,595,329/61,359
  6. Step 6: Final answer
    x = 291,865.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.