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Finding the Third Proportional to 69,528.38 and 133,518.38

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Solution

The third proportional to 69,528.38 and 133,518.38 is: 256,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,528.38 : 133,518.38 = 133,518.38 : x
  2. Step 2: Convert to fraction form
    69,528.38/133,518.38 = 133,518.38/x
  3. Step 3: Cross multiply
    69,528.38x = 133,518.38 × 133,518.38
  4. Step 4: Simplify right side
    69,528.38x = 17,827,156,462.64
  5. Step 5: Solve for x
    x = 17,827,156,462.64/69,528.38
  6. Step 6: Final answer
    x = 256,401.17

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.