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Finding the Third Proportional to 67,154 and 146,294

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Solution

The third proportional to 67,154 and 146,294 is: 318,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,154 : 146,294 = 146,294 : x
  2. Step 2: Convert to fraction form
    67,154/146,294 = 146,294/x
  3. Step 3: Cross multiply
    67,154x = 146,294 × 146,294
  4. Step 4: Simplify right side
    67,154x = 21,401,934,436
  5. Step 5: Solve for x
    x = 21,401,934,436/67,154
  6. Step 6: Final answer
    x = 318,699.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.