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Finding the Third Proportional to 120,464 and 187,368

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Solution

The third proportional to 120,464 and 187,368 is: 291,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464 : 187,368 = 187,368 : x
  2. Step 2: Convert to fraction form
    120,464/187,368 = 187,368/x
  3. Step 3: Cross multiply
    120,464x = 187,368 × 187,368
  4. Step 4: Simplify right side
    120,464x = 35,106,767,424
  5. Step 5: Solve for x
    x = 35,106,767,424/120,464
  6. Step 6: Final answer
    x = 291,429.53

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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.