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Finding the Third Proportional to 32,089.50 and 69,066

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Solution

The third proportional to 32,089.50 and 69,066 is: 148,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.50 : 69,066 = 69,066 : x
  2. Step 2: Convert to fraction form
    32,089.50/69,066 = 69,066/x
  3. Step 3: Cross multiply
    32,089.50x = 69,066 × 69,066
  4. Step 4: Simplify right side
    32,089.50x = 4,770,112,356
  5. Step 5: Solve for x
    x = 4,770,112,356/32,089.50
  6. Step 6: Final answer
    x = 148,650.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.