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Finding the Third Proportional to 57,090 and 120,334.50

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Solution

The third proportional to 57,090 and 120,334.50 is: 253,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,090 : 120,334.50 = 120,334.50 : x
  2. Step 2: Convert to fraction form
    57,090/120,334.50 = 120,334.50/x
  3. Step 3: Cross multiply
    57,090x = 120,334.50 × 120,334.50
  4. Step 4: Simplify right side
    57,090x = 14,480,391,890.25
  5. Step 5: Solve for x
    x = 14,480,391,890.25/57,090
  6. Step 6: Final answer
    x = 253,641.48

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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.