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Finding the Third Proportional to 52,125 and 101,658

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Solution

The third proportional to 52,125 and 101,658 is: 198,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125 : 101,658 = 101,658 : x
  2. Step 2: Convert to fraction form
    52,125/101,658 = 101,658/x
  3. Step 3: Cross multiply
    52,125x = 101,658 × 101,658
  4. Step 4: Simplify right side
    52,125x = 10,334,348,964
  5. Step 5: Solve for x
    x = 10,334,348,964/52,125
  6. Step 6: Final answer
    x = 198,260.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.