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Finding the Third Proportional to 68,616 and 148,167

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Solution

The third proportional to 68,616 and 148,167 is: 319,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616 : 148,167 = 148,167 : x
  2. Step 2: Convert to fraction form
    68,616/148,167 = 148,167/x
  3. Step 3: Cross multiply
    68,616x = 148,167 × 148,167
  4. Step 4: Simplify right side
    68,616x = 21,953,459,889
  5. Step 5: Solve for x
    x = 21,953,459,889/68,616
  6. Step 6: Final answer
    x = 319,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.