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Finding the Third Proportional to 95,731.50 and 152,619

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Solution

The third proportional to 95,731.50 and 152,619 is: 243,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,731.50 : 152,619 = 152,619 : x
  2. Step 2: Convert to fraction form
    95,731.50/152,619 = 152,619/x
  3. Step 3: Cross multiply
    95,731.50x = 152,619 × 152,619
  4. Step 4: Simplify right side
    95,731.50x = 23,292,559,161
  5. Step 5: Solve for x
    x = 23,292,559,161/95,731.50
  6. Step 6: Final answer
    x = 243,311.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.