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Finding the Third Proportional to 56,567.50 and 83,873

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Solution

The third proportional to 56,567.50 and 83,873 is: 124,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,567.50 : 83,873 = 83,873 : x
  2. Step 2: Convert to fraction form
    56,567.50/83,873 = 83,873/x
  3. Step 3: Cross multiply
    56,567.50x = 83,873 × 83,873
  4. Step 4: Simplify right side
    56,567.50x = 7,034,680,129
  5. Step 5: Solve for x
    x = 7,034,680,129/56,567.50
  6. Step 6: Final answer
    x = 124,359.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.