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Finding the Third Proportional to 98,429.50 and 152,701

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Solution

The third proportional to 98,429.50 and 152,701 is: 236,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,429.50 : 152,701 = 152,701 : x
  2. Step 2: Convert to fraction form
    98,429.50/152,701 = 152,701/x
  3. Step 3: Cross multiply
    98,429.50x = 152,701 × 152,701
  4. Step 4: Simplify right side
    98,429.50x = 23,317,595,401
  5. Step 5: Solve for x
    x = 23,317,595,401/98,429.50
  6. Step 6: Final answer
    x = 236,896.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.