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Finding the Third Proportional to 107,963 and 237,182

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Solution

The third proportional to 107,963 and 237,182 is: 521,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,963 : 237,182 = 237,182 : x
  2. Step 2: Convert to fraction form
    107,963/237,182 = 237,182/x
  3. Step 3: Cross multiply
    107,963x = 237,182 × 237,182
  4. Step 4: Simplify right side
    107,963x = 56,255,301,124
  5. Step 5: Solve for x
    x = 56,255,301,124/107,963
  6. Step 6: Final answer
    x = 521,060.93

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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.