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Finding the Third Proportional to 92,283 and 141,471

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Solution

The third proportional to 92,283 and 141,471 is: 216,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283 : 141,471 = 141,471 : x
  2. Step 2: Convert to fraction form
    92,283/141,471 = 141,471/x
  3. Step 3: Cross multiply
    92,283x = 141,471 × 141,471
  4. Step 4: Simplify right side
    92,283x = 20,014,043,841
  5. Step 5: Solve for x
    x = 20,014,043,841/92,283
  6. Step 6: Final answer
    x = 216,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.