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Finding the Third Proportional to 61,360 and 128,916

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Solution

The third proportional to 61,360 and 128,916 is: 270,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,360 : 128,916 = 128,916 : x
  2. Step 2: Convert to fraction form
    61,360/128,916 = 128,916/x
  3. Step 3: Cross multiply
    61,360x = 128,916 × 128,916
  4. Step 4: Simplify right side
    61,360x = 16,619,335,056
  5. Step 5: Solve for x
    x = 16,619,335,056/61,360
  6. Step 6: Final answer
    x = 270,849.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.