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Finding the Third Proportional to 92,221.50 and 138,333

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Solution

The third proportional to 92,221.50 and 138,333 is: 207,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,221.50 : 138,333 = 138,333 : x
  2. Step 2: Convert to fraction form
    92,221.50/138,333 = 138,333/x
  3. Step 3: Cross multiply
    92,221.50x = 138,333 × 138,333
  4. Step 4: Simplify right side
    92,221.50x = 19,136,018,889
  5. Step 5: Solve for x
    x = 19,136,018,889/92,221.50
  6. Step 6: Final answer
    x = 207,500.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.