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Finding the Third Proportional to 81,011 and 121,515.50

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Solution

The third proportional to 81,011 and 121,515.50 is: 182,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,011 : 121,515.50 = 121,515.50 : x
  2. Step 2: Convert to fraction form
    81,011/121,515.50 = 121,515.50/x
  3. Step 3: Cross multiply
    81,011x = 121,515.50 × 121,515.50
  4. Step 4: Simplify right side
    81,011x = 14,766,016,740.25
  5. Step 5: Solve for x
    x = 14,766,016,740.25/81,011
  6. Step 6: Final answer
    x = 182,271.75

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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.