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Finding the Third Proportional to 119,143.13 and 176,662.13

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Solution

The third proportional to 119,143.13 and 176,662.13 is: 261,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,143.13 : 176,662.13 = 176,662.13 : x
  2. Step 2: Convert to fraction form
    119,143.13/176,662.13 = 176,662.13/x
  3. Step 3: Cross multiply
    119,143.13x = 176,662.13 × 176,662.13
  4. Step 4: Simplify right side
    119,143.13x = 31,209,506,409.52
  5. Step 5: Solve for x
    x = 31,209,506,409.52/119,143.13
  6. Step 6: Final answer
    x = 261,949.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.