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Finding the Third Proportional to 107,312 and 235,872

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Solution

The third proportional to 107,312 and 235,872 is: 518,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312 : 235,872 = 235,872 : x
  2. Step 2: Convert to fraction form
    107,312/235,872 = 235,872/x
  3. Step 3: Cross multiply
    107,312x = 235,872 × 235,872
  4. Step 4: Simplify right side
    107,312x = 55,635,600,384
  5. Step 5: Solve for x
    x = 55,635,600,384/107,312
  6. Step 6: Final answer
    x = 518,447.15

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