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Finding the Third Proportional to 69,040 and 147,916

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Solution

The third proportional to 69,040 and 147,916 is: 316,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,040 : 147,916 = 147,916 : x
  2. Step 2: Convert to fraction form
    69,040/147,916 = 147,916/x
  3. Step 3: Cross multiply
    69,040x = 147,916 × 147,916
  4. Step 4: Simplify right side
    69,040x = 21,879,143,056
  5. Step 5: Solve for x
    x = 21,879,143,056/69,040
  6. Step 6: Final answer
    x = 316,905.32

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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.