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Finding the Third Proportional to 107,913 and 159,775

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Solution

The third proportional to 107,913 and 159,775 is: 236,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913 : 159,775 = 159,775 : x
  2. Step 2: Convert to fraction form
    107,913/159,775 = 159,775/x
  3. Step 3: Cross multiply
    107,913x = 159,775 × 159,775
  4. Step 4: Simplify right side
    107,913x = 25,528,050,625
  5. Step 5: Solve for x
    x = 25,528,050,625/107,913
  6. Step 6: Final answer
    x = 236,561.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.