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Finding the Third Proportional to 52,407 and 120,703.50

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Solution

The third proportional to 52,407 and 120,703.50 is: 278,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 120,703.50 = 120,703.50 : x
  2. Step 2: Convert to fraction form
    52,407/120,703.50 = 120,703.50/x
  3. Step 3: Cross multiply
    52,407x = 120,703.50 × 120,703.50
  4. Step 4: Simplify right side
    52,407x = 14,569,334,912.25
  5. Step 5: Solve for x
    x = 14,569,334,912.25/52,407
  6. Step 6: Final answer
    x = 278,003.60

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.