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Finding the Third Proportional to 69,052 and 147,936

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Solution

The third proportional to 69,052 and 147,936 is: 316,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,052 : 147,936 = 147,936 : x
  2. Step 2: Convert to fraction form
    69,052/147,936 = 147,936/x
  3. Step 3: Cross multiply
    69,052x = 147,936 × 147,936
  4. Step 4: Simplify right side
    69,052x = 21,885,060,096
  5. Step 5: Solve for x
    x = 21,885,060,096/69,052
  6. Step 6: Final answer
    x = 316,935.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.