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Finding the Third Proportional to 98,532.50 and 152,859

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Solution

The third proportional to 98,532.50 and 152,859 is: 237,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532.50 : 152,859 = 152,859 : x
  2. Step 2: Convert to fraction form
    98,532.50/152,859 = 152,859/x
  3. Step 3: Cross multiply
    98,532.50x = 152,859 × 152,859
  4. Step 4: Simplify right side
    98,532.50x = 23,365,873,881
  5. Step 5: Solve for x
    x = 23,365,873,881/98,532.50
  6. Step 6: Final answer
    x = 237,138.75

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Why These Related Problems?

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