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Finding the Third Proportional to 98,908.50 and 157,252.50

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Solution

The third proportional to 98,908.50 and 157,252.50 is: 250,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,908.50 : 157,252.50 = 157,252.50 : x
  2. Step 2: Convert to fraction form
    98,908.50/157,252.50 = 157,252.50/x
  3. Step 3: Cross multiply
    98,908.50x = 157,252.50 × 157,252.50
  4. Step 4: Simplify right side
    98,908.50x = 24,728,348,756.25
  5. Step 5: Solve for x
    x = 24,728,348,756.25/98,908.50
  6. Step 6: Final answer
    x = 250,012.37

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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.