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Finding the Third Proportional to 64,138 and 148,463

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Solution

The third proportional to 64,138 and 148,463 is: 343,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138 : 148,463 = 148,463 : x
  2. Step 2: Convert to fraction form
    64,138/148,463 = 148,463/x
  3. Step 3: Cross multiply
    64,138x = 148,463 × 148,463
  4. Step 4: Simplify right side
    64,138x = 22,041,262,369
  5. Step 5: Solve for x
    x = 22,041,262,369/64,138
  6. Step 6: Final answer
    x = 343,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.