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Finding the Third Proportional to 120,073.50 and 253,370.25

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Solution

The third proportional to 120,073.50 and 253,370.25 is: 534,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,073.50 : 253,370.25 = 253,370.25 : x
  2. Step 2: Convert to fraction form
    120,073.50/253,370.25 = 253,370.25/x
  3. Step 3: Cross multiply
    120,073.50x = 253,370.25 × 253,370.25
  4. Step 4: Simplify right side
    120,073.50x = 64,196,483,585.06
  5. Step 5: Solve for x
    x = 64,196,483,585.06/120,073.50
  6. Step 6: Final answer
    x = 534,643.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.