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Finding the Third Proportional to 125,509.50 and 275,896.13

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Solution

The third proportional to 125,509.50 and 275,896.13 is: 606,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,509.50 : 275,896.13 = 275,896.13 : x
  2. Step 2: Convert to fraction form
    125,509.50/275,896.13 = 275,896.13/x
  3. Step 3: Cross multiply
    125,509.50x = 275,896.13 × 275,896.13
  4. Step 4: Simplify right side
    125,509.50x = 76,118,671,790.02
  5. Step 5: Solve for x
    x = 76,118,671,790.02/125,509.50
  6. Step 6: Final answer
    x = 606,477.37

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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.