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Finding the Third Proportional to 119,652.19 and 185,247.56

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Solution

The third proportional to 119,652.19 and 185,247.56 is: 286,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652.19 : 185,247.56 = 185,247.56 : x
  2. Step 2: Convert to fraction form
    119,652.19/185,247.56 = 185,247.56/x
  3. Step 3: Cross multiply
    119,652.19x = 185,247.56 × 185,247.56
  4. Step 4: Simplify right side
    119,652.19x = 34,316,659,412.19
  5. Step 5: Solve for x
    x = 34,316,659,412.19/119,652.19
  6. Step 6: Final answer
    x = 286,803.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.