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Finding the Third Proportional to 73,013 and 105,511

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Solution

The third proportional to 73,013 and 105,511 is: 152,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013 : 105,511 = 105,511 : x
  2. Step 2: Convert to fraction form
    73,013/105,511 = 105,511/x
  3. Step 3: Cross multiply
    73,013x = 105,511 × 105,511
  4. Step 4: Simplify right side
    73,013x = 11,132,571,121
  5. Step 5: Solve for x
    x = 11,132,571,121/73,013
  6. Step 6: Final answer
    x = 152,473.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.