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Finding the Third Proportional to 59,628 and 132,378

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Solution

The third proportional to 59,628 and 132,378 is: 293,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,628 : 132,378 = 132,378 : x
  2. Step 2: Convert to fraction form
    59,628/132,378 = 132,378/x
  3. Step 3: Cross multiply
    59,628x = 132,378 × 132,378
  4. Step 4: Simplify right side
    59,628x = 17,523,934,884
  5. Step 5: Solve for x
    x = 17,523,934,884/59,628
  6. Step 6: Final answer
    x = 293,887.69

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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.