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Finding the Third Proportional to 64,322 and 98,926

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Solution

The third proportional to 64,322 and 98,926 is: 152,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,322 : 98,926 = 98,926 : x
  2. Step 2: Convert to fraction form
    64,322/98,926 = 98,926/x
  3. Step 3: Cross multiply
    64,322x = 98,926 × 98,926
  4. Step 4: Simplify right side
    64,322x = 9,786,353,476
  5. Step 5: Solve for x
    x = 9,786,353,476/64,322
  6. Step 6: Final answer
    x = 152,146.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.