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Finding the Third Proportional to 51,908 and 117,300

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Solution

The third proportional to 51,908 and 117,300 is: 265,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908 : 117,300 = 117,300 : x
  2. Step 2: Convert to fraction form
    51,908/117,300 = 117,300/x
  3. Step 3: Cross multiply
    51,908x = 117,300 × 117,300
  4. Step 4: Simplify right side
    51,908x = 13,759,290,000
  5. Step 5: Solve for x
    x = 13,759,290,000/51,908
  6. Step 6: Final answer
    x = 265,070.70

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.