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Finding the Third Proportional to 64,374 and 134,631

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Solution

The third proportional to 64,374 and 134,631 is: 281,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374 : 134,631 = 134,631 : x
  2. Step 2: Convert to fraction form
    64,374/134,631 = 134,631/x
  3. Step 3: Cross multiply
    64,374x = 134,631 × 134,631
  4. Step 4: Simplify right side
    64,374x = 18,125,506,161
  5. Step 5: Solve for x
    x = 18,125,506,161/64,374
  6. Step 6: Final answer
    x = 281,565.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.