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Finding the Third Proportional to 117,537 and 254,757

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Solution

The third proportional to 117,537 and 254,757 is: 552,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537 : 254,757 = 254,757 : x
  2. Step 2: Convert to fraction form
    117,537/254,757 = 254,757/x
  3. Step 3: Cross multiply
    117,537x = 254,757 × 254,757
  4. Step 4: Simplify right side
    117,537x = 64,901,129,049
  5. Step 5: Solve for x
    x = 64,901,129,049/117,537
  6. Step 6: Final answer
    x = 552,176.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.