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Finding the Third Proportional to 98,575.50 and 151,671

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Solution

The third proportional to 98,575.50 and 151,671 is: 233,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.50 : 151,671 = 151,671 : x
  2. Step 2: Convert to fraction form
    98,575.50/151,671 = 151,671/x
  3. Step 3: Cross multiply
    98,575.50x = 151,671 × 151,671
  4. Step 4: Simplify right side
    98,575.50x = 23,004,092,241
  5. Step 5: Solve for x
    x = 23,004,092,241/98,575.50
  6. Step 6: Final answer
    x = 233,365.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.