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Finding the Third Proportional to 98,968 and 152,898

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Solution

The third proportional to 98,968 and 152,898 is: 236,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 152,898 = 152,898 : x
  2. Step 2: Convert to fraction form
    98,968/152,898 = 152,898/x
  3. Step 3: Cross multiply
    98,968x = 152,898 × 152,898
  4. Step 4: Simplify right side
    98,968x = 23,377,798,404
  5. Step 5: Solve for x
    x = 23,377,798,404/98,968
  6. Step 6: Final answer
    x = 236,215.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.