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Finding the Third Proportional to 64,728 and 141,498

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Solution

The third proportional to 64,728 and 141,498 is: 309,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,728 : 141,498 = 141,498 : x
  2. Step 2: Convert to fraction form
    64,728/141,498 = 141,498/x
  3. Step 3: Cross multiply
    64,728x = 141,498 × 141,498
  4. Step 4: Simplify right side
    64,728x = 20,021,684,004
  5. Step 5: Solve for x
    x = 20,021,684,004/64,728
  6. Step 6: Final answer
    x = 309,320.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.