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Finding the Third Proportional to 59,523 and 128,310

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Solution

The third proportional to 59,523 and 128,310 is: 276,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,523 : 128,310 = 128,310 : x
  2. Step 2: Convert to fraction form
    59,523/128,310 = 128,310/x
  3. Step 3: Cross multiply
    59,523x = 128,310 × 128,310
  4. Step 4: Simplify right side
    59,523x = 16,463,456,100
  5. Step 5: Solve for x
    x = 16,463,456,100/59,523
  6. Step 6: Final answer
    x = 276,589.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.