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Finding the Third Proportional to 61,350 and 130,116

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Solution

The third proportional to 61,350 and 130,116 is: 275,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,350 : 130,116 = 130,116 : x
  2. Step 2: Convert to fraction form
    61,350/130,116 = 130,116/x
  3. Step 3: Cross multiply
    61,350x = 130,116 × 130,116
  4. Step 4: Simplify right side
    61,350x = 16,930,173,456
  5. Step 5: Solve for x
    x = 16,930,173,456/61,350
  6. Step 6: Final answer
    x = 275,960.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.