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Finding the Third Proportional to 59,298 and 127,364

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Solution

The third proportional to 59,298 and 127,364 is: 273,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,298 : 127,364 = 127,364 : x
  2. Step 2: Convert to fraction form
    59,298/127,364 = 127,364/x
  3. Step 3: Cross multiply
    59,298x = 127,364 × 127,364
  4. Step 4: Simplify right side
    59,298x = 16,221,588,496
  5. Step 5: Solve for x
    x = 16,221,588,496/59,298
  6. Step 6: Final answer
    x = 273,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.