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Finding the Third Proportional to 97,201.50 and 152,149.50

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Solution

The third proportional to 97,201.50 and 152,149.50 is: 238,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,201.50 : 152,149.50 = 152,149.50 : x
  2. Step 2: Convert to fraction form
    97,201.50/152,149.50 = 152,149.50/x
  3. Step 3: Cross multiply
    97,201.50x = 152,149.50 × 152,149.50
  4. Step 4: Simplify right side
    97,201.50x = 23,149,470,350.25
  5. Step 5: Solve for x
    x = 23,149,470,350.25/97,201.50
  6. Step 6: Final answer
    x = 238,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.