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Finding the Third Proportional to 124,371 and 197,232.75

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Solution

The third proportional to 124,371 and 197,232.75 is: 312,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,371 : 197,232.75 = 197,232.75 : x
  2. Step 2: Convert to fraction form
    124,371/197,232.75 = 197,232.75/x
  3. Step 3: Cross multiply
    124,371x = 197,232.75 × 197,232.75
  4. Step 4: Simplify right side
    124,371x = 38,900,757,672.56
  5. Step 5: Solve for x
    x = 38,900,757,672.56/124,371
  6. Step 6: Final answer
    x = 312,779.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.