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Finding the Third Proportional to 52,322 and 74,724

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Solution

The third proportional to 52,322 and 74,724 is: 106,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322 : 74,724 = 74,724 : x
  2. Step 2: Convert to fraction form
    52,322/74,724 = 74,724/x
  3. Step 3: Cross multiply
    52,322x = 74,724 × 74,724
  4. Step 4: Simplify right side
    52,322x = 5,583,676,176
  5. Step 5: Solve for x
    x = 5,583,676,176/52,322
  6. Step 6: Final answer
    x = 106,717.56

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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.