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Finding the Third Proportional to 132,283 and 189,091

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Solution

The third proportional to 132,283 and 189,091 is: 270,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,283 : 189,091 = 189,091 : x
  2. Step 2: Convert to fraction form
    132,283/189,091 = 189,091/x
  3. Step 3: Cross multiply
    132,283x = 189,091 × 189,091
  4. Step 4: Simplify right side
    132,283x = 35,755,406,281
  5. Step 5: Solve for x
    x = 35,755,406,281/132,283
  6. Step 6: Final answer
    x = 270,294.79

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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.