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Finding the Third Proportional to 52,146 and 74,727

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Solution

The third proportional to 52,146 and 74,727 is: 107,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146 : 74,727 = 74,727 : x
  2. Step 2: Convert to fraction form
    52,146/74,727 = 74,727/x
  3. Step 3: Cross multiply
    52,146x = 74,727 × 74,727
  4. Step 4: Simplify right side
    52,146x = 5,584,124,529
  5. Step 5: Solve for x
    x = 5,584,124,529/52,146
  6. Step 6: Final answer
    x = 107,086.34

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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.