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Finding the Third Proportional to 59,214 and 128,463

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Solution

The third proportional to 59,214 and 128,463 is: 278,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,214 : 128,463 = 128,463 : x
  2. Step 2: Convert to fraction form
    59,214/128,463 = 128,463/x
  3. Step 3: Cross multiply
    59,214x = 128,463 × 128,463
  4. Step 4: Simplify right side
    59,214x = 16,502,742,369
  5. Step 5: Solve for x
    x = 16,502,742,369/59,214
  6. Step 6: Final answer
    x = 278,696.63

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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.