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Finding the Third Proportional to 69,306 and 149,700

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Solution

The third proportional to 69,306 and 149,700 is: 323,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 149,700 = 149,700 : x
  2. Step 2: Convert to fraction form
    69,306/149,700 = 149,700/x
  3. Step 3: Cross multiply
    69,306x = 149,700 × 149,700
  4. Step 4: Simplify right side
    69,306x = 22,410,090,000
  5. Step 5: Solve for x
    x = 22,410,090,000/69,306
  6. Step 6: Final answer
    x = 323,349.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.