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Finding the Third Proportional to 83,004.75 and 124,567.88

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Solution

The third proportional to 83,004.75 and 124,567.88 is: 186,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,004.75 : 124,567.88 = 124,567.88 : x
  2. Step 2: Convert to fraction form
    83,004.75/124,567.88 = 124,567.88/x
  3. Step 3: Cross multiply
    83,004.75x = 124,567.88 × 124,567.88
  4. Step 4: Simplify right side
    83,004.75x = 15,517,155,482.02
  5. Step 5: Solve for x
    x = 15,517,155,482.02/83,004.75
  6. Step 6: Final answer
    x = 186,942.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.