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Finding the Third Proportional to 61,363 and 132,409

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Solution

The third proportional to 61,363 and 132,409 is: 285,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,363 : 132,409 = 132,409 : x
  2. Step 2: Convert to fraction form
    61,363/132,409 = 132,409/x
  3. Step 3: Cross multiply
    61,363x = 132,409 × 132,409
  4. Step 4: Simplify right side
    61,363x = 17,532,143,281
  5. Step 5: Solve for x
    x = 17,532,143,281/61,363
  6. Step 6: Final answer
    x = 285,711.96

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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.