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Finding the Third Proportional to 51,010 and 74,957

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Solution

The third proportional to 51,010 and 74,957 is: 110,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010 : 74,957 = 74,957 : x
  2. Step 2: Convert to fraction form
    51,010/74,957 = 74,957/x
  3. Step 3: Cross multiply
    51,010x = 74,957 × 74,957
  4. Step 4: Simplify right side
    51,010x = 5,618,551,849
  5. Step 5: Solve for x
    x = 5,618,551,849/51,010
  6. Step 6: Final answer
    x = 110,146.09

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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.