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Finding the Third Proportional to 68,985 and 142,911

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Solution

The third proportional to 68,985 and 142,911 is: 296,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,985 : 142,911 = 142,911 : x
  2. Step 2: Convert to fraction form
    68,985/142,911 = 142,911/x
  3. Step 3: Cross multiply
    68,985x = 142,911 × 142,911
  4. Step 4: Simplify right side
    68,985x = 20,423,553,921
  5. Step 5: Solve for x
    x = 20,423,553,921/68,985
  6. Step 6: Final answer
    x = 296,057.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.