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Finding the Third Proportional to 53,752.50 and 75,195

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Solution

The third proportional to 53,752.50 and 75,195 is: 105,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,752.50 : 75,195 = 75,195 : x
  2. Step 2: Convert to fraction form
    53,752.50/75,195 = 75,195/x
  3. Step 3: Cross multiply
    53,752.50x = 75,195 × 75,195
  4. Step 4: Simplify right side
    53,752.50x = 5,654,288,025
  5. Step 5: Solve for x
    x = 5,654,288,025/53,752.50
  6. Step 6: Final answer
    x = 105,191.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.