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Finding the Third Proportional to 52,748 and 124,517

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Solution

The third proportional to 52,748 and 124,517 is: 293,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,748 : 124,517 = 124,517 : x
  2. Step 2: Convert to fraction form
    52,748/124,517 = 124,517/x
  3. Step 3: Cross multiply
    52,748x = 124,517 × 124,517
  4. Step 4: Simplify right side
    52,748x = 15,504,483,289
  5. Step 5: Solve for x
    x = 15,504,483,289/52,748
  6. Step 6: Final answer
    x = 293,935.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.