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Finding the Third Proportional to 61,510 and 134,756

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Solution

The third proportional to 61,510 and 134,756 is: 295,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510 : 134,756 = 134,756 : x
  2. Step 2: Convert to fraction form
    61,510/134,756 = 134,756/x
  3. Step 3: Cross multiply
    61,510x = 134,756 × 134,756
  4. Step 4: Simplify right side
    61,510x = 18,159,179,536
  5. Step 5: Solve for x
    x = 18,159,179,536/61,510
  6. Step 6: Final answer
    x = 295,223.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.