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Finding the Third Proportional to 35,219.25 and 78,309

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Solution

The third proportional to 35,219.25 and 78,309 is: 174,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.25 : 78,309 = 78,309 : x
  2. Step 2: Convert to fraction form
    35,219.25/78,309 = 78,309/x
  3. Step 3: Cross multiply
    35,219.25x = 78,309 × 78,309
  4. Step 4: Simplify right side
    35,219.25x = 6,132,299,481
  5. Step 5: Solve for x
    x = 6,132,299,481/35,219.25
  6. Step 6: Final answer
    x = 174,117.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.