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Finding the Third Proportional to 117,113 and 253,894

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Solution

The third proportional to 117,113 and 253,894 is: 550,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,113 : 253,894 = 253,894 : x
  2. Step 2: Convert to fraction form
    117,113/253,894 = 253,894/x
  3. Step 3: Cross multiply
    117,113x = 253,894 × 253,894
  4. Step 4: Simplify right side
    117,113x = 64,462,163,236
  5. Step 5: Solve for x
    x = 64,462,163,236/117,113
  6. Step 6: Final answer
    x = 550,427.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.