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Finding the Third Proportional to 35,339 and 77,662

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Solution

The third proportional to 35,339 and 77,662 is: 170,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,339 : 77,662 = 77,662 : x
  2. Step 2: Convert to fraction form
    35,339/77,662 = 77,662/x
  3. Step 3: Cross multiply
    35,339x = 77,662 × 77,662
  4. Step 4: Simplify right side
    35,339x = 6,031,386,244
  5. Step 5: Solve for x
    x = 6,031,386,244/35,339
  6. Step 6: Final answer
    x = 170,672.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.