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Finding the Third Proportional to 121,466 and 256,136

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Solution

The third proportional to 121,466 and 256,136 is: 540,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,466 : 256,136 = 256,136 : x
  2. Step 2: Convert to fraction form
    121,466/256,136 = 256,136/x
  3. Step 3: Cross multiply
    121,466x = 256,136 × 256,136
  4. Step 4: Simplify right side
    121,466x = 65,605,650,496
  5. Step 5: Solve for x
    x = 65,605,650,496/121,466
  6. Step 6: Final answer
    x = 540,115.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.