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Finding the Third Proportional to 47,056 and 74,904

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Solution

The third proportional to 47,056 and 74,904 is: 119,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056 : 74,904 = 74,904 : x
  2. Step 2: Convert to fraction form
    47,056/74,904 = 74,904/x
  3. Step 3: Cross multiply
    47,056x = 74,904 × 74,904
  4. Step 4: Simplify right side
    47,056x = 5,610,609,216
  5. Step 5: Solve for x
    x = 5,610,609,216/47,056
  6. Step 6: Final answer
    x = 119,232.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.