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Finding the Third Proportional to 59,411 and 132,106

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Solution

The third proportional to 59,411 and 132,106 is: 293,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,411 : 132,106 = 132,106 : x
  2. Step 2: Convert to fraction form
    59,411/132,106 = 132,106/x
  3. Step 3: Cross multiply
    59,411x = 132,106 × 132,106
  4. Step 4: Simplify right side
    59,411x = 17,451,995,236
  5. Step 5: Solve for x
    x = 17,451,995,236/59,411
  6. Step 6: Final answer
    x = 293,750.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.