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Finding the Third Proportional to 39,091 and 76,237.50

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Solution

The third proportional to 39,091 and 76,237.50 is: 148,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,091 : 76,237.50 = 76,237.50 : x
  2. Step 2: Convert to fraction form
    39,091/76,237.50 = 76,237.50/x
  3. Step 3: Cross multiply
    39,091x = 76,237.50 × 76,237.50
  4. Step 4: Simplify right side
    39,091x = 5,812,156,406.25
  5. Step 5: Solve for x
    x = 5,812,156,406.25/39,091
  6. Step 6: Final answer
    x = 148,682.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.