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Finding the Third Proportional to 68,088 and 99,843

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Solution

The third proportional to 68,088 and 99,843 is: 146,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 99,843 = 99,843 : x
  2. Step 2: Convert to fraction form
    68,088/99,843 = 99,843/x
  3. Step 3: Cross multiply
    68,088x = 99,843 × 99,843
  4. Step 4: Simplify right side
    68,088x = 9,968,624,649
  5. Step 5: Solve for x
    x = 9,968,624,649/68,088
  6. Step 6: Final answer
    x = 146,407.95

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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.