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Finding the Third Proportional to 56,976 and 117,597

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Solution

The third proportional to 56,976 and 117,597 is: 242,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976 : 117,597 = 117,597 : x
  2. Step 2: Convert to fraction form
    56,976/117,597 = 117,597/x
  3. Step 3: Cross multiply
    56,976x = 117,597 × 117,597
  4. Step 4: Simplify right side
    56,976x = 13,829,054,409
  5. Step 5: Solve for x
    x = 13,829,054,409/56,976
  6. Step 6: Final answer
    x = 242,717.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.