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Finding the Third Proportional to 35,937 and 78,091

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Solution

The third proportional to 35,937 and 78,091 is: 169,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,937 : 78,091 = 78,091 : x
  2. Step 2: Convert to fraction form
    35,937/78,091 = 78,091/x
  3. Step 3: Cross multiply
    35,937x = 78,091 × 78,091
  4. Step 4: Simplify right side
    35,937x = 6,098,204,281
  5. Step 5: Solve for x
    x = 6,098,204,281/35,937
  6. Step 6: Final answer
    x = 169,691.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.