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Finding the Third Proportional to 61,409 and 127,434

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Solution

The third proportional to 61,409 and 127,434 is: 264,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409 : 127,434 = 127,434 : x
  2. Step 2: Convert to fraction form
    61,409/127,434 = 127,434/x
  3. Step 3: Cross multiply
    61,409x = 127,434 × 127,434
  4. Step 4: Simplify right side
    61,409x = 16,239,424,356
  5. Step 5: Solve for x
    x = 16,239,424,356/61,409
  6. Step 6: Final answer
    x = 264,446.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.