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Finding the Third Proportional to 117,964 and 254,612

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Solution

The third proportional to 117,964 and 254,612 is: 549,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,964 : 254,612 = 254,612 : x
  2. Step 2: Convert to fraction form
    117,964/254,612 = 254,612/x
  3. Step 3: Cross multiply
    117,964x = 254,612 × 254,612
  4. Step 4: Simplify right side
    117,964x = 64,827,270,544
  5. Step 5: Solve for x
    x = 64,827,270,544/117,964
  6. Step 6: Final answer
    x = 549,551.31

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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.