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Finding the Third Proportional to 117,762 and 254,376

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Solution

The third proportional to 117,762 and 254,376 is: 549,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762 : 254,376 = 254,376 : x
  2. Step 2: Convert to fraction form
    117,762/254,376 = 254,376/x
  3. Step 3: Cross multiply
    117,762x = 254,376 × 254,376
  4. Step 4: Simplify right side
    117,762x = 64,707,149,376
  5. Step 5: Solve for x
    x = 64,707,149,376/117,762
  6. Step 6: Final answer
    x = 549,473.93

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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.