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Finding the Third Proportional to 107,136 and 235,422

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Solution

The third proportional to 107,136 and 235,422 is: 517,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,136 : 235,422 = 235,422 : x
  2. Step 2: Convert to fraction form
    107,136/235,422 = 235,422/x
  3. Step 3: Cross multiply
    107,136x = 235,422 × 235,422
  4. Step 4: Simplify right side
    107,136x = 55,423,518,084
  5. Step 5: Solve for x
    x = 55,423,518,084/107,136
  6. Step 6: Final answer
    x = 517,319.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.