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Finding the Third Proportional to 83,454.75 and 185,567.63

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Solution

The third proportional to 83,454.75 and 185,567.63 is: 412,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454.75 : 185,567.63 = 185,567.63 : x
  2. Step 2: Convert to fraction form
    83,454.75/185,567.63 = 185,567.63/x
  3. Step 3: Cross multiply
    83,454.75x = 185,567.63 × 185,567.63
  4. Step 4: Simplify right side
    83,454.75x = 34,435,343,448.14
  5. Step 5: Solve for x
    x = 34,435,343,448.14/83,454.75
  6. Step 6: Final answer
    x = 412,622.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.