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Finding the Third Proportional to 119,044 and 180,102

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Solution

The third proportional to 119,044 and 180,102 is: 272,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,044 : 180,102 = 180,102 : x
  2. Step 2: Convert to fraction form
    119,044/180,102 = 180,102/x
  3. Step 3: Cross multiply
    119,044x = 180,102 × 180,102
  4. Step 4: Simplify right side
    119,044x = 32,436,730,404
  5. Step 5: Solve for x
    x = 32,436,730,404/119,044
  6. Step 6: Final answer
    x = 272,476.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.