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Finding the Third Proportional to 35,934 and 78,165.75

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Solution

The third proportional to 35,934 and 78,165.75 is: 170,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,934 : 78,165.75 = 78,165.75 : x
  2. Step 2: Convert to fraction form
    35,934/78,165.75 = 78,165.75/x
  3. Step 3: Cross multiply
    35,934x = 78,165.75 × 78,165.75
  4. Step 4: Simplify right side
    35,934x = 6,109,884,473.06
  5. Step 5: Solve for x
    x = 6,109,884,473.06/35,934
  6. Step 6: Final answer
    x = 170,030.74

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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.