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Finding the Third Proportional to 75,924 and 151,758

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Solution

The third proportional to 75,924 and 151,758 is: 303,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924 : 151,758 = 151,758 : x
  2. Step 2: Convert to fraction form
    75,924/151,758 = 151,758/x
  3. Step 3: Cross multiply
    75,924x = 151,758 × 151,758
  4. Step 4: Simplify right side
    75,924x = 23,030,490,564
  5. Step 5: Solve for x
    x = 23,030,490,564/75,924
  6. Step 6: Final answer
    x = 303,336.11

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.