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Finding the Third Proportional to 124,320 and 193,926

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Solution

The third proportional to 124,320 and 193,926 is: 302,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,320 : 193,926 = 193,926 : x
  2. Step 2: Convert to fraction form
    124,320/193,926 = 193,926/x
  3. Step 3: Cross multiply
    124,320x = 193,926 × 193,926
  4. Step 4: Simplify right side
    124,320x = 37,607,293,476
  5. Step 5: Solve for x
    x = 37,607,293,476/124,320
  6. Step 6: Final answer
    x = 302,503.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.