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Finding the Third Proportional to 115,968 and 254,076

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Solution

The third proportional to 115,968 and 254,076 is: 556,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,968 : 254,076 = 254,076 : x
  2. Step 2: Convert to fraction form
    115,968/254,076 = 254,076/x
  3. Step 3: Cross multiply
    115,968x = 254,076 × 254,076
  4. Step 4: Simplify right side
    115,968x = 64,554,613,776
  5. Step 5: Solve for x
    x = 64,554,613,776/115,968
  6. Step 6: Final answer
    x = 556,658.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.