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Finding the Third Proportional to 51,006 and 74,952

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Solution

The third proportional to 51,006 and 74,952 is: 110,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006 : 74,952 = 74,952 : x
  2. Step 2: Convert to fraction form
    51,006/74,952 = 74,952/x
  3. Step 3: Cross multiply
    51,006x = 74,952 × 74,952
  4. Step 4: Simplify right side
    51,006x = 5,617,802,304
  5. Step 5: Solve for x
    x = 5,617,802,304/51,006
  6. Step 6: Final answer
    x = 110,140.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.