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Finding the Third Proportional to 117,861 and 254,550

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Solution

The third proportional to 117,861 and 254,550 is: 549,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,861 : 254,550 = 254,550 : x
  2. Step 2: Convert to fraction form
    117,861/254,550 = 254,550/x
  3. Step 3: Cross multiply
    117,861x = 254,550 × 254,550
  4. Step 4: Simplify right side
    117,861x = 64,795,702,500
  5. Step 5: Solve for x
    x = 64,795,702,500/117,861
  6. Step 6: Final answer
    x = 549,763.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.