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Finding the Third Proportional to 35,218.13 and 78,310.13

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Solution

The third proportional to 35,218.13 and 78,310.13 is: 174,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.13 : 78,310.13 = 78,310.13 : x
  2. Step 2: Convert to fraction form
    35,218.13/78,310.13 = 78,310.13/x
  3. Step 3: Cross multiply
    35,218.13x = 78,310.13 × 78,310.13
  4. Step 4: Simplify right side
    35,218.13x = 6,132,475,677.52
  5. Step 5: Solve for x
    x = 6,132,475,677.52/35,218.13
  6. Step 6: Final answer
    x = 174,128.40

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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.