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Finding the Third Proportional to 56,584 and 119,364

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Solution

The third proportional to 56,584 and 119,364 is: 251,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,584 : 119,364 = 119,364 : x
  2. Step 2: Convert to fraction form
    56,584/119,364 = 119,364/x
  3. Step 3: Cross multiply
    56,584x = 119,364 × 119,364
  4. Step 4: Simplify right side
    56,584x = 14,247,764,496
  5. Step 5: Solve for x
    x = 14,247,764,496/56,584
  6. Step 6: Final answer
    x = 251,798.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.