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Finding the Third Proportional to 73,072 and 99,023

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Solution

The third proportional to 73,072 and 99,023 is: 134,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072 : 99,023 = 99,023 : x
  2. Step 2: Convert to fraction form
    73,072/99,023 = 99,023/x
  3. Step 3: Cross multiply
    73,072x = 99,023 × 99,023
  4. Step 4: Simplify right side
    73,072x = 9,805,554,529
  5. Step 5: Solve for x
    x = 9,805,554,529/73,072
  6. Step 6: Final answer
    x = 134,190.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.