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Finding the Third Proportional to 92,964 and 140,320

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Solution

The third proportional to 92,964 and 140,320 is: 211,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,964 : 140,320 = 140,320 : x
  2. Step 2: Convert to fraction form
    92,964/140,320 = 140,320/x
  3. Step 3: Cross multiply
    92,964x = 140,320 × 140,320
  4. Step 4: Simplify right side
    92,964x = 19,689,702,400
  5. Step 5: Solve for x
    x = 19,689,702,400/92,964
  6. Step 6: Final answer
    x = 211,799.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.