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Finding the Third Proportional to 68,334 and 148,326

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Solution

The third proportional to 68,334 and 148,326 is: 321,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,334 : 148,326 = 148,326 : x
  2. Step 2: Convert to fraction form
    68,334/148,326 = 148,326/x
  3. Step 3: Cross multiply
    68,334x = 148,326 × 148,326
  4. Step 4: Simplify right side
    68,334x = 22,000,602,276
  5. Step 5: Solve for x
    x = 22,000,602,276/68,334
  6. Step 6: Final answer
    x = 321,956.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.