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Finding the Third Proportional to 104,209 and 161,461

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Solution

The third proportional to 104,209 and 161,461 is: 250,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,209 : 161,461 = 161,461 : x
  2. Step 2: Convert to fraction form
    104,209/161,461 = 161,461/x
  3. Step 3: Cross multiply
    104,209x = 161,461 × 161,461
  4. Step 4: Simplify right side
    104,209x = 26,069,654,521
  5. Step 5: Solve for x
    x = 26,069,654,521/104,209
  6. Step 6: Final answer
    x = 250,167.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.