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Finding the Third Proportional to 105,377 and 248,747

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Solution

The third proportional to 105,377 and 248,747 is: 587,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,377 : 248,747 = 248,747 : x
  2. Step 2: Convert to fraction form
    105,377/248,747 = 248,747/x
  3. Step 3: Cross multiply
    105,377x = 248,747 × 248,747
  4. Step 4: Simplify right side
    105,377x = 61,875,070,009
  5. Step 5: Solve for x
    x = 61,875,070,009/105,377
  6. Step 6: Final answer
    x = 587,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.