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Finding the Third Proportional to 65,820 and 96,273

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Solution

The third proportional to 65,820 and 96,273 is: 140,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820 : 96,273 = 96,273 : x
  2. Step 2: Convert to fraction form
    65,820/96,273 = 96,273/x
  3. Step 3: Cross multiply
    65,820x = 96,273 × 96,273
  4. Step 4: Simplify right side
    65,820x = 9,268,490,529
  5. Step 5: Solve for x
    x = 9,268,490,529/65,820
  6. Step 6: Final answer
    x = 140,815.72

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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.