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Finding the Third Proportional to 69,092 and 143,376

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Solution

The third proportional to 69,092 and 143,376 is: 297,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,092 : 143,376 = 143,376 : x
  2. Step 2: Convert to fraction form
    69,092/143,376 = 143,376/x
  3. Step 3: Cross multiply
    69,092x = 143,376 × 143,376
  4. Step 4: Simplify right side
    69,092x = 20,556,677,376
  5. Step 5: Solve for x
    x = 20,556,677,376/69,092
  6. Step 6: Final answer
    x = 297,526.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.