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Finding the Third Proportional to 40,200 and 85,730

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Solution

The third proportional to 40,200 and 85,730 is: 182,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200 : 85,730 = 85,730 : x
  2. Step 2: Convert to fraction form
    40,200/85,730 = 85,730/x
  3. Step 3: Cross multiply
    40,200x = 85,730 × 85,730
  4. Step 4: Simplify right side
    40,200x = 7,349,632,900
  5. Step 5: Solve for x
    x = 7,349,632,900/40,200
  6. Step 6: Final answer
    x = 182,826.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.