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Finding the Third Proportional to 61,650 and 133,118

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Solution

The third proportional to 61,650 and 133,118 is: 287,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,650 : 133,118 = 133,118 : x
  2. Step 2: Convert to fraction form
    61,650/133,118 = 133,118/x
  3. Step 3: Cross multiply
    61,650x = 133,118 × 133,118
  4. Step 4: Simplify right side
    61,650x = 17,720,401,924
  5. Step 5: Solve for x
    x = 17,720,401,924/61,650
  6. Step 6: Final answer
    x = 287,435.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.