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Finding the Third Proportional to 145,654 and 196,789

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Solution

The third proportional to 145,654 and 196,789 is: 265,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,654 : 196,789 = 196,789 : x
  2. Step 2: Convert to fraction form
    145,654/196,789 = 196,789/x
  3. Step 3: Cross multiply
    145,654x = 196,789 × 196,789
  4. Step 4: Simplify right side
    145,654x = 38,725,910,521
  5. Step 5: Solve for x
    x = 38,725,910,521/145,654
  6. Step 6: Final answer
    x = 265,876.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.