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Finding the Third Proportional to 92,217 and 141,003

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Solution

The third proportional to 92,217 and 141,003 is: 215,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,217 : 141,003 = 141,003 : x
  2. Step 2: Convert to fraction form
    92,217/141,003 = 141,003/x
  3. Step 3: Cross multiply
    92,217x = 141,003 × 141,003
  4. Step 4: Simplify right side
    92,217x = 19,881,846,009
  5. Step 5: Solve for x
    x = 19,881,846,009/92,217
  6. Step 6: Final answer
    x = 215,598.49

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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.