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Finding the Third Proportional to 65,807 and 96,254

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Solution

The third proportional to 65,807 and 96,254 is: 140,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807 : 96,254 = 96,254 : x
  2. Step 2: Convert to fraction form
    65,807/96,254 = 96,254/x
  3. Step 3: Cross multiply
    65,807x = 96,254 × 96,254
  4. Step 4: Simplify right side
    65,807x = 9,264,832,516
  5. Step 5: Solve for x
    x = 9,264,832,516/65,807
  6. Step 6: Final answer
    x = 140,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.