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Finding the Third Proportional to 62,410 and 136,472

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Solution

The third proportional to 62,410 and 136,472 is: 298,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 136,472 = 136,472 : x
  2. Step 2: Convert to fraction form
    62,410/136,472 = 136,472/x
  3. Step 3: Cross multiply
    62,410x = 136,472 × 136,472
  4. Step 4: Simplify right side
    62,410x = 18,624,606,784
  5. Step 5: Solve for x
    x = 18,624,606,784/62,410
  6. Step 6: Final answer
    x = 298,423.44

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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.