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Finding the Third Proportional to 119,052 and 161,685

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Solution

The third proportional to 119,052 and 161,685 is: 219,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052 : 161,685 = 161,685 : x
  2. Step 2: Convert to fraction form
    119,052/161,685 = 161,685/x
  3. Step 3: Cross multiply
    119,052x = 161,685 × 161,685
  4. Step 4: Simplify right side
    119,052x = 26,142,039,225
  5. Step 5: Solve for x
    x = 26,142,039,225/119,052
  6. Step 6: Final answer
    x = 219,585.05

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Why These Related Problems?

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