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Finding the Third Proportional to 35,706 and 77,761

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Solution

The third proportional to 35,706 and 77,761 is: 169,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706 : 77,761 = 77,761 : x
  2. Step 2: Convert to fraction form
    35,706/77,761 = 77,761/x
  3. Step 3: Cross multiply
    35,706x = 77,761 × 77,761
  4. Step 4: Simplify right side
    35,706x = 6,046,773,121
  5. Step 5: Solve for x
    x = 6,046,773,121/35,706
  6. Step 6: Final answer
    x = 169,348.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.