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Finding the Third Proportional to 68,532 and 99,881

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Solution

The third proportional to 68,532 and 99,881 is: 145,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532 : 99,881 = 99,881 : x
  2. Step 2: Convert to fraction form
    68,532/99,881 = 99,881/x
  3. Step 3: Cross multiply
    68,532x = 99,881 × 99,881
  4. Step 4: Simplify right side
    68,532x = 9,976,214,161
  5. Step 5: Solve for x
    x = 9,976,214,161/68,532
  6. Step 6: Final answer
    x = 145,570.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.