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Finding the Third Proportional to 59,634 and 130,191

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Solution

The third proportional to 59,634 and 130,191 is: 284,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,634 : 130,191 = 130,191 : x
  2. Step 2: Convert to fraction form
    59,634/130,191 = 130,191/x
  3. Step 3: Cross multiply
    59,634x = 130,191 × 130,191
  4. Step 4: Simplify right side
    59,634x = 16,949,696,481
  5. Step 5: Solve for x
    x = 16,949,696,481/59,634
  6. Step 6: Final answer
    x = 284,228.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.