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Finding the Third Proportional to 52,249 and 74,688

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Solution

The third proportional to 52,249 and 74,688 is: 106,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,249 : 74,688 = 74,688 : x
  2. Step 2: Convert to fraction form
    52,249/74,688 = 74,688/x
  3. Step 3: Cross multiply
    52,249x = 74,688 × 74,688
  4. Step 4: Simplify right side
    52,249x = 5,578,297,344
  5. Step 5: Solve for x
    x = 5,578,297,344/52,249
  6. Step 6: Final answer
    x = 106,763.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.