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Finding the Third Proportional to 98,420.50 and 152,689

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Solution

The third proportional to 98,420.50 and 152,689 is: 236,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420.50 : 152,689 = 152,689 : x
  2. Step 2: Convert to fraction form
    98,420.50/152,689 = 152,689/x
  3. Step 3: Cross multiply
    98,420.50x = 152,689 × 152,689
  4. Step 4: Simplify right side
    98,420.50x = 23,313,930,721
  5. Step 5: Solve for x
    x = 23,313,930,721/98,420.50
  6. Step 6: Final answer
    x = 236,880.84

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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.