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Finding the Third Proportional to 61,176 and 129,264

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Solution

The third proportional to 61,176 and 129,264 is: 273,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176 : 129,264 = 129,264 : x
  2. Step 2: Convert to fraction form
    61,176/129,264 = 129,264/x
  3. Step 3: Cross multiply
    61,176x = 129,264 × 129,264
  4. Step 4: Simplify right side
    61,176x = 16,709,181,696
  5. Step 5: Solve for x
    x = 16,709,181,696/61,176
  6. Step 6: Final answer
    x = 273,132.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.