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Finding the Third Proportional to 64,496 and 141,664

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Solution

The third proportional to 64,496 and 141,664 is: 311,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496 : 141,664 = 141,664 : x
  2. Step 2: Convert to fraction form
    64,496/141,664 = 141,664/x
  3. Step 3: Cross multiply
    64,496x = 141,664 × 141,664
  4. Step 4: Simplify right side
    64,496x = 20,068,688,896
  5. Step 5: Solve for x
    x = 20,068,688,896/64,496
  6. Step 6: Final answer
    x = 311,161.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.