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Finding the Third Proportional to 32,086.50 and 77,300.25

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Solution

The third proportional to 32,086.50 and 77,300.25 is: 186,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.50 : 77,300.25 = 77,300.25 : x
  2. Step 2: Convert to fraction form
    32,086.50/77,300.25 = 77,300.25/x
  3. Step 3: Cross multiply
    32,086.50x = 77,300.25 × 77,300.25
  4. Step 4: Simplify right side
    32,086.50x = 5,975,328,650.06
  5. Step 5: Solve for x
    x = 5,975,328,650.06/32,086.50
  6. Step 6: Final answer
    x = 186,225.63

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.