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Finding the Third Proportional to 47,156 and 64,893

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Solution

The third proportional to 47,156 and 64,893 is: 89,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,156 : 64,893 = 64,893 : x
  2. Step 2: Convert to fraction form
    47,156/64,893 = 64,893/x
  3. Step 3: Cross multiply
    47,156x = 64,893 × 64,893
  4. Step 4: Simplify right side
    47,156x = 4,211,101,449
  5. Step 5: Solve for x
    x = 4,211,101,449/47,156
  6. Step 6: Final answer
    x = 89,301.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.