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Finding the Third Proportional to 134,176.50 and 188,066.81

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Solution

The third proportional to 134,176.50 and 188,066.81 is: 263,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,176.50 : 188,066.81 = 188,066.81 : x
  2. Step 2: Convert to fraction form
    134,176.50/188,066.81 = 188,066.81/x
  3. Step 3: Cross multiply
    134,176.50x = 188,066.81 × 188,066.81
  4. Step 4: Simplify right side
    134,176.50x = 35,369,125,963.91
  5. Step 5: Solve for x
    x = 35,369,125,963.91/134,176.50
  6. Step 6: Final answer
    x = 263,601.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.