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Finding the Third Proportional to 67,467 and 99,013

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Solution

The third proportional to 67,467 and 99,013 is: 145,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,467 : 99,013 = 99,013 : x
  2. Step 2: Convert to fraction form
    67,467/99,013 = 99,013/x
  3. Step 3: Cross multiply
    67,467x = 99,013 × 99,013
  4. Step 4: Simplify right side
    67,467x = 9,803,574,169
  5. Step 5: Solve for x
    x = 9,803,574,169/67,467
  6. Step 6: Final answer
    x = 145,309.18

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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.