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Finding the Third Proportional to 103,511 and 146,497

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Solution

The third proportional to 103,511 and 146,497 is: 207,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,511 : 146,497 = 146,497 : x
  2. Step 2: Convert to fraction form
    103,511/146,497 = 146,497/x
  3. Step 3: Cross multiply
    103,511x = 146,497 × 146,497
  4. Step 4: Simplify right side
    103,511x = 21,461,371,009
  5. Step 5: Solve for x
    x = 21,461,371,009/103,511
  6. Step 6: Final answer
    x = 207,334.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.