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Finding the Third Proportional to 96,975 and 149,006.25

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Solution

The third proportional to 96,975 and 149,006.25 is: 228,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,975 : 149,006.25 = 149,006.25 : x
  2. Step 2: Convert to fraction form
    96,975/149,006.25 = 149,006.25/x
  3. Step 3: Cross multiply
    96,975x = 149,006.25 × 149,006.25
  4. Step 4: Simplify right side
    96,975x = 22,202,862,539.06
  5. Step 5: Solve for x
    x = 22,202,862,539.06/96,975
  6. Step 6: Final answer
    x = 228,954.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.