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Finding the Third Proportional to 68,967 and 147,774

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Solution

The third proportional to 68,967 and 147,774 is: 316,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967 : 147,774 = 147,774 : x
  2. Step 2: Convert to fraction form
    68,967/147,774 = 147,774/x
  3. Step 3: Cross multiply
    68,967x = 147,774 × 147,774
  4. Step 4: Simplify right side
    68,967x = 21,837,155,076
  5. Step 5: Solve for x
    x = 21,837,155,076/68,967
  6. Step 6: Final answer
    x = 316,631.94

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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.