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Finding the Third Proportional to 74,583 and 115,642.50

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Solution

The third proportional to 74,583 and 115,642.50 is: 179,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,583 : 115,642.50 = 115,642.50 : x
  2. Step 2: Convert to fraction form
    74,583/115,642.50 = 115,642.50/x
  3. Step 3: Cross multiply
    74,583x = 115,642.50 × 115,642.50
  4. Step 4: Simplify right side
    74,583x = 13,373,187,806.25
  5. Step 5: Solve for x
    x = 13,373,187,806.25/74,583
  6. Step 6: Final answer
    x = 179,306.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.