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Finding the Third Proportional to 73,898 and 153,051

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Solution

The third proportional to 73,898 and 153,051 is: 316,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898 : 153,051 = 153,051 : x
  2. Step 2: Convert to fraction form
    73,898/153,051 = 153,051/x
  3. Step 3: Cross multiply
    73,898x = 153,051 × 153,051
  4. Step 4: Simplify right side
    73,898x = 23,424,608,601
  5. Step 5: Solve for x
    x = 23,424,608,601/73,898
  6. Step 6: Final answer
    x = 316,985.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.