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Finding the Third Proportional to 68,543 and 99,898

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Solution

The third proportional to 68,543 and 99,898 is: 145,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,543 : 99,898 = 99,898 : x
  2. Step 2: Convert to fraction form
    68,543/99,898 = 99,898/x
  3. Step 3: Cross multiply
    68,543x = 99,898 × 99,898
  4. Step 4: Simplify right side
    68,543x = 9,979,610,404
  5. Step 5: Solve for x
    x = 9,979,610,404/68,543
  6. Step 6: Final answer
    x = 145,596.35

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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.