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Finding the Third Proportional to 116,872 and 254,248

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Solution

The third proportional to 116,872 and 254,248 is: 553,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,872 : 254,248 = 254,248 : x
  2. Step 2: Convert to fraction form
    116,872/254,248 = 254,248/x
  3. Step 3: Cross multiply
    116,872x = 254,248 × 254,248
  4. Step 4: Simplify right side
    116,872x = 64,642,045,504
  5. Step 5: Solve for x
    x = 64,642,045,504/116,872
  6. Step 6: Final answer
    x = 553,101.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.