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Finding the Third Proportional to 85,171.50 and 121,419

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Solution

The third proportional to 85,171.50 and 121,419 is: 173,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,171.50 : 121,419 = 121,419 : x
  2. Step 2: Convert to fraction form
    85,171.50/121,419 = 121,419/x
  3. Step 3: Cross multiply
    85,171.50x = 121,419 × 121,419
  4. Step 4: Simplify right side
    85,171.50x = 14,742,573,561
  5. Step 5: Solve for x
    x = 14,742,573,561/85,171.50
  6. Step 6: Final answer
    x = 173,092.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.