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Finding the Third Proportional to 52,470 and 74,982

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Solution

The third proportional to 52,470 and 74,982 is: 107,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470 : 74,982 = 74,982 : x
  2. Step 2: Convert to fraction form
    52,470/74,982 = 74,982/x
  3. Step 3: Cross multiply
    52,470x = 74,982 × 74,982
  4. Step 4: Simplify right side
    52,470x = 5,622,300,324
  5. Step 5: Solve for x
    x = 5,622,300,324/52,470
  6. Step 6: Final answer
    x = 107,152.66

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