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Finding the Third Proportional to 61,334 and 132,508

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Solution

The third proportional to 61,334 and 132,508 is: 286,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,334 : 132,508 = 132,508 : x
  2. Step 2: Convert to fraction form
    61,334/132,508 = 132,508/x
  3. Step 3: Cross multiply
    61,334x = 132,508 × 132,508
  4. Step 4: Simplify right side
    61,334x = 17,558,370,064
  5. Step 5: Solve for x
    x = 17,558,370,064/61,334
  6. Step 6: Final answer
    x = 286,274.66

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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.