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Finding the Third Proportional to 61,064 and 131,340

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Solution

The third proportional to 61,064 and 131,340 is: 282,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,064 : 131,340 = 131,340 : x
  2. Step 2: Convert to fraction form
    61,064/131,340 = 131,340/x
  3. Step 3: Cross multiply
    61,064x = 131,340 × 131,340
  4. Step 4: Simplify right side
    61,064x = 17,250,195,600
  5. Step 5: Solve for x
    x = 17,250,195,600/61,064
  6. Step 6: Final answer
    x = 282,493.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.