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Finding the Third Proportional to 116,743.78 and 170,952.19

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Solution

The third proportional to 116,743.78 and 170,952.19 is: 250,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,743.78 : 170,952.19 = 170,952.19 : x
  2. Step 2: Convert to fraction form
    116,743.78/170,952.19 = 170,952.19/x
  3. Step 3: Cross multiply
    116,743.78x = 170,952.19 × 170,952.19
  4. Step 4: Simplify right side
    116,743.78x = 29,224,650,411.04
  5. Step 5: Solve for x
    x = 29,224,650,411.04/116,743.78
  6. Step 6: Final answer
    x = 250,331.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.