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Finding the Third Proportional to 97,033.50 and 144,951

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Solution

The third proportional to 97,033.50 and 144,951 is: 216,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033.50 : 144,951 = 144,951 : x
  2. Step 2: Convert to fraction form
    97,033.50/144,951 = 144,951/x
  3. Step 3: Cross multiply
    97,033.50x = 144,951 × 144,951
  4. Step 4: Simplify right side
    97,033.50x = 21,010,792,401
  5. Step 5: Solve for x
    x = 21,010,792,401/97,033.50
  6. Step 6: Final answer
    x = 216,531.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.