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Finding the Third Proportional to 125,911.50 and 276,633

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Solution

The third proportional to 125,911.50 and 276,633 is: 607,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,911.50 : 276,633 = 276,633 : x
  2. Step 2: Convert to fraction form
    125,911.50/276,633 = 276,633/x
  3. Step 3: Cross multiply
    125,911.50x = 276,633 × 276,633
  4. Step 4: Simplify right side
    125,911.50x = 76,525,816,689
  5. Step 5: Solve for x
    x = 76,525,816,689/125,911.50
  6. Step 6: Final answer
    x = 607,774.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.