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Finding the Third Proportional to 120,248 and 187,648

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Solution

The third proportional to 120,248 and 187,648 is: 292,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,248 : 187,648 = 187,648 : x
  2. Step 2: Convert to fraction form
    120,248/187,648 = 187,648/x
  3. Step 3: Cross multiply
    120,248x = 187,648 × 187,648
  4. Step 4: Simplify right side
    120,248x = 35,211,771,904
  5. Step 5: Solve for x
    x = 35,211,771,904/120,248
  6. Step 6: Final answer
    x = 292,826.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.