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Finding the Third Proportional to 53,024 and 74,926

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Solution

The third proportional to 53,024 and 74,926 is: 105,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 74,926 = 74,926 : x
  2. Step 2: Convert to fraction form
    53,024/74,926 = 74,926/x
  3. Step 3: Cross multiply
    53,024x = 74,926 × 74,926
  4. Step 4: Simplify right side
    53,024x = 5,613,905,476
  5. Step 5: Solve for x
    x = 5,613,905,476/53,024
  6. Step 6: Final answer
    x = 105,874.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.