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Finding the Third Proportional to 35,132 and 77,656

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Solution

The third proportional to 35,132 and 77,656 is: 171,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,132 : 77,656 = 77,656 : x
  2. Step 2: Convert to fraction form
    35,132/77,656 = 77,656/x
  3. Step 3: Cross multiply
    35,132x = 77,656 × 77,656
  4. Step 4: Simplify right side
    35,132x = 6,030,454,336
  5. Step 5: Solve for x
    x = 6,030,454,336/35,132
  6. Step 6: Final answer
    x = 171,651.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.