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Finding the Third Proportional to 66,939 and 89,242.50

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Solution

The third proportional to 66,939 and 89,242.50 is: 118,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 89,242.50 = 89,242.50 : x
  2. Step 2: Convert to fraction form
    66,939/89,242.50 = 89,242.50/x
  3. Step 3: Cross multiply
    66,939x = 89,242.50 × 89,242.50
  4. Step 4: Simplify right side
    66,939x = 7,964,223,806.25
  5. Step 5: Solve for x
    x = 7,964,223,806.25/66,939
  6. Step 6: Final answer
    x = 118,977.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.