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Finding the Third Proportional to 142,959 and 209,662

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Solution

The third proportional to 142,959 and 209,662 is: 307,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,959 : 209,662 = 209,662 : x
  2. Step 2: Convert to fraction form
    142,959/209,662 = 209,662/x
  3. Step 3: Cross multiply
    142,959x = 209,662 × 209,662
  4. Step 4: Simplify right side
    142,959x = 43,958,154,244
  5. Step 5: Solve for x
    x = 43,958,154,244/142,959
  6. Step 6: Final answer
    x = 307,487.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.