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Finding the Third Proportional to 35,207.16 and 78,285.66

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Solution

The third proportional to 35,207.16 and 78,285.66 is: 174,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.16 : 78,285.66 = 78,285.66 : x
  2. Step 2: Convert to fraction form
    35,207.16/78,285.66 = 78,285.66/x
  3. Step 3: Cross multiply
    35,207.16x = 78,285.66 × 78,285.66
  4. Step 4: Simplify right side
    35,207.16x = 6,128,643,974.49
  5. Step 5: Solve for x
    x = 6,128,643,974.49/35,207.16
  6. Step 6: Final answer
    x = 174,073.81

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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.