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Finding the Third Proportional to 56,387 and 133,583

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Solution

The third proportional to 56,387 and 133,583 is: 316,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387 : 133,583 = 133,583 : x
  2. Step 2: Convert to fraction form
    56,387/133,583 = 133,583/x
  3. Step 3: Cross multiply
    56,387x = 133,583 × 133,583
  4. Step 4: Simplify right side
    56,387x = 17,844,417,889
  5. Step 5: Solve for x
    x = 17,844,417,889/56,387
  6. Step 6: Final answer
    x = 316,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.