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Finding the Third Proportional to 103,982 and 148,699

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Solution

The third proportional to 103,982 and 148,699 is: 212,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982 : 148,699 = 148,699 : x
  2. Step 2: Convert to fraction form
    103,982/148,699 = 148,699/x
  3. Step 3: Cross multiply
    103,982x = 148,699 × 148,699
  4. Step 4: Simplify right side
    103,982x = 22,111,392,601
  5. Step 5: Solve for x
    x = 22,111,392,601/103,982
  6. Step 6: Final answer
    x = 212,646.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.