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Finding the Third Proportional to 56,669 and 123,513

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Solution

The third proportional to 56,669 and 123,513 is: 269,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,669 : 123,513 = 123,513 : x
  2. Step 2: Convert to fraction form
    56,669/123,513 = 123,513/x
  3. Step 3: Cross multiply
    56,669x = 123,513 × 123,513
  4. Step 4: Simplify right side
    56,669x = 15,255,461,169
  5. Step 5: Solve for x
    x = 15,255,461,169/56,669
  6. Step 6: Final answer
    x = 269,202.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.