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Finding the Third Proportional to 65,440 and 94,848

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Solution

The third proportional to 65,440 and 94,848 is: 137,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,440 : 94,848 = 94,848 : x
  2. Step 2: Convert to fraction form
    65,440/94,848 = 94,848/x
  3. Step 3: Cross multiply
    65,440x = 94,848 × 94,848
  4. Step 4: Simplify right side
    65,440x = 8,996,143,104
  5. Step 5: Solve for x
    x = 8,996,143,104/65,440
  6. Step 6: Final answer
    x = 137,471.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.