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Finding the Third Proportional to 86,677.50 and 133,045.50

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Solution

The third proportional to 86,677.50 and 133,045.50 is: 204,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,677.50 : 133,045.50 = 133,045.50 : x
  2. Step 2: Convert to fraction form
    86,677.50/133,045.50 = 133,045.50/x
  3. Step 3: Cross multiply
    86,677.50x = 133,045.50 × 133,045.50
  4. Step 4: Simplify right side
    86,677.50x = 17,701,105,070.25
  5. Step 5: Solve for x
    x = 17,701,105,070.25/86,677.50
  6. Step 6: Final answer
    x = 204,217.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.