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Finding the Third Proportional to 67,528.69 and 146,503.69

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Solution

The third proportional to 67,528.69 and 146,503.69 is: 317,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,528.69 : 146,503.69 = 146,503.69 : x
  2. Step 2: Convert to fraction form
    67,528.69/146,503.69 = 146,503.69/x
  3. Step 3: Cross multiply
    67,528.69x = 146,503.69 × 146,503.69
  4. Step 4: Simplify right side
    67,528.69x = 21,463,330,451.10
  5. Step 5: Solve for x
    x = 21,463,330,451.10/67,528.69
  6. Step 6: Final answer
    x = 317,840.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.