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Finding the Third Proportional to 47,764 and 112,348

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Solution

The third proportional to 47,764 and 112,348 is: 264,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 112,348 = 112,348 : x
  2. Step 2: Convert to fraction form
    47,764/112,348 = 112,348/x
  3. Step 3: Cross multiply
    47,764x = 112,348 × 112,348
  4. Step 4: Simplify right side
    47,764x = 12,622,073,104
  5. Step 5: Solve for x
    x = 12,622,073,104/47,764
  6. Step 6: Final answer
    x = 264,259.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.