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Finding the Third Proportional to 89,644 and 130,260

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Solution

The third proportional to 89,644 and 130,260 is: 189,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,644 : 130,260 = 130,260 : x
  2. Step 2: Convert to fraction form
    89,644/130,260 = 130,260/x
  3. Step 3: Cross multiply
    89,644x = 130,260 × 130,260
  4. Step 4: Simplify right side
    89,644x = 16,967,667,600
  5. Step 5: Solve for x
    x = 16,967,667,600/89,644
  6. Step 6: Final answer
    x = 189,278.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.