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Finding the Third Proportional to 79,281 and 107,986.50

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Solution

The third proportional to 79,281 and 107,986.50 is: 147,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,281 : 107,986.50 = 107,986.50 : x
  2. Step 2: Convert to fraction form
    79,281/107,986.50 = 107,986.50/x
  3. Step 3: Cross multiply
    79,281x = 107,986.50 × 107,986.50
  4. Step 4: Simplify right side
    79,281x = 11,661,084,182.25
  5. Step 5: Solve for x
    x = 11,661,084,182.25/79,281
  6. Step 6: Final answer
    x = 147,085.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.