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Finding the Third Proportional to 62,368 and 137,864

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Solution

The third proportional to 62,368 and 137,864 is: 304,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,368 : 137,864 = 137,864 : x
  2. Step 2: Convert to fraction form
    62,368/137,864 = 137,864/x
  3. Step 3: Cross multiply
    62,368x = 137,864 × 137,864
  4. Step 4: Simplify right side
    62,368x = 19,006,482,496
  5. Step 5: Solve for x
    x = 19,006,482,496/62,368
  6. Step 6: Final answer
    x = 304,747.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.