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Finding the Third Proportional to 119,730 and 159,764.25

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Solution

The third proportional to 119,730 and 159,764.25 is: 213,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,730 : 159,764.25 = 159,764.25 : x
  2. Step 2: Convert to fraction form
    119,730/159,764.25 = 159,764.25/x
  3. Step 3: Cross multiply
    119,730x = 159,764.25 × 159,764.25
  4. Step 4: Simplify right side
    119,730x = 25,524,615,578.06
  5. Step 5: Solve for x
    x = 25,524,615,578.06/119,730
  6. Step 6: Final answer
    x = 213,184.80

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