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Finding the Third Proportional to 113,817 and 169,945

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Solution

The third proportional to 113,817 and 169,945 is: 253,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,817 : 169,945 = 169,945 : x
  2. Step 2: Convert to fraction form
    113,817/169,945 = 169,945/x
  3. Step 3: Cross multiply
    113,817x = 169,945 × 169,945
  4. Step 4: Simplify right side
    113,817x = 28,881,303,025
  5. Step 5: Solve for x
    x = 28,881,303,025/113,817
  6. Step 6: Final answer
    x = 253,752.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.