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Finding the Third Proportional to 61,378 and 132,416

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Solution

The third proportional to 61,378 and 132,416 is: 285,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378 : 132,416 = 132,416 : x
  2. Step 2: Convert to fraction form
    61,378/132,416 = 132,416/x
  3. Step 3: Cross multiply
    61,378x = 132,416 × 132,416
  4. Step 4: Simplify right side
    61,378x = 17,533,997,056
  5. Step 5: Solve for x
    x = 17,533,997,056/61,378
  6. Step 6: Final answer
    x = 285,672.34

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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.