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Finding the Third Proportional to 132,410 and 185,219

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Solution

The third proportional to 132,410 and 185,219 is: 259,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,410 : 185,219 = 185,219 : x
  2. Step 2: Convert to fraction form
    132,410/185,219 = 185,219/x
  3. Step 3: Cross multiply
    132,410x = 185,219 × 185,219
  4. Step 4: Simplify right side
    132,410x = 34,306,077,961
  5. Step 5: Solve for x
    x = 34,306,077,961/132,410
  6. Step 6: Final answer
    x = 259,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.