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Finding the Third Proportional to 71,664 and 153,373

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Solution

The third proportional to 71,664 and 153,373 is: 328,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664 : 153,373 = 153,373 : x
  2. Step 2: Convert to fraction form
    71,664/153,373 = 153,373/x
  3. Step 3: Cross multiply
    71,664x = 153,373 × 153,373
  4. Step 4: Simplify right side
    71,664x = 23,523,277,129
  5. Step 5: Solve for x
    x = 23,523,277,129/71,664
  6. Step 6: Final answer
    x = 328,243.99

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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.