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Finding the Third Proportional to 65,404.50 and 101,253

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Solution

The third proportional to 65,404.50 and 101,253 is: 156,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404.50 : 101,253 = 101,253 : x
  2. Step 2: Convert to fraction form
    65,404.50/101,253 = 101,253/x
  3. Step 3: Cross multiply
    65,404.50x = 101,253 × 101,253
  4. Step 4: Simplify right side
    65,404.50x = 10,252,170,009
  5. Step 5: Solve for x
    x = 10,252,170,009/65,404.50
  6. Step 6: Final answer
    x = 156,750.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.