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Finding the Third Proportional to 43,437 and 95,187

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Solution

The third proportional to 43,437 and 95,187 is: 208,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,437 : 95,187 = 95,187 : x
  2. Step 2: Convert to fraction form
    43,437/95,187 = 95,187/x
  3. Step 3: Cross multiply
    43,437x = 95,187 × 95,187
  4. Step 4: Simplify right side
    43,437x = 9,060,564,969
  5. Step 5: Solve for x
    x = 9,060,564,969/43,437
  6. Step 6: Final answer
    x = 208,590.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.