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Finding the Third Proportional to 120,368 and 187,120

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Solution

The third proportional to 120,368 and 187,120 is: 290,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,368 : 187,120 = 187,120 : x
  2. Step 2: Convert to fraction form
    120,368/187,120 = 187,120/x
  3. Step 3: Cross multiply
    120,368x = 187,120 × 187,120
  4. Step 4: Simplify right side
    120,368x = 35,013,894,400
  5. Step 5: Solve for x
    x = 35,013,894,400/120,368
  6. Step 6: Final answer
    x = 290,890.39

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Why These Related Problems?

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