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Finding the Third Proportional to 69,004 and 148,376

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Solution

The third proportional to 69,004 and 148,376 is: 319,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,004 : 148,376 = 148,376 : x
  2. Step 2: Convert to fraction form
    69,004/148,376 = 148,376/x
  3. Step 3: Cross multiply
    69,004x = 148,376 × 148,376
  4. Step 4: Simplify right side
    69,004x = 22,015,437,376
  5. Step 5: Solve for x
    x = 22,015,437,376/69,004
  6. Step 6: Final answer
    x = 319,045.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.