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Finding the Third Proportional to 79,722 and 121,699.50

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Solution

The third proportional to 79,722 and 121,699.50 is: 185,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,722 : 121,699.50 = 121,699.50 : x
  2. Step 2: Convert to fraction form
    79,722/121,699.50 = 121,699.50/x
  3. Step 3: Cross multiply
    79,722x = 121,699.50 × 121,699.50
  4. Step 4: Simplify right side
    79,722x = 14,810,768,300.25
  5. Step 5: Solve for x
    x = 14,810,768,300.25/79,722
  6. Step 6: Final answer
    x = 185,780.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.