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Finding the Third Proportional to 59,271 and 128,370

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Solution

The third proportional to 59,271 and 128,370 is: 278,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,271 : 128,370 = 128,370 : x
  2. Step 2: Convert to fraction form
    59,271/128,370 = 128,370/x
  3. Step 3: Cross multiply
    59,271x = 128,370 × 128,370
  4. Step 4: Simplify right side
    59,271x = 16,478,856,900
  5. Step 5: Solve for x
    x = 16,478,856,900/59,271
  6. Step 6: Final answer
    x = 278,025.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.