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Finding the Third Proportional to 61,374 and 130,108

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Solution

The third proportional to 61,374 and 130,108 is: 275,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,374 : 130,108 = 130,108 : x
  2. Step 2: Convert to fraction form
    61,374/130,108 = 130,108/x
  3. Step 3: Cross multiply
    61,374x = 130,108 × 130,108
  4. Step 4: Simplify right side
    61,374x = 16,928,091,664
  5. Step 5: Solve for x
    x = 16,928,091,664/61,374
  6. Step 6: Final answer
    x = 275,818.61

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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.