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Finding the Third Proportional to 75,464 and 149,024

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Solution

The third proportional to 75,464 and 149,024 is: 294,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464 : 149,024 = 149,024 : x
  2. Step 2: Convert to fraction form
    75,464/149,024 = 149,024/x
  3. Step 3: Cross multiply
    75,464x = 149,024 × 149,024
  4. Step 4: Simplify right side
    75,464x = 22,208,152,576
  5. Step 5: Solve for x
    x = 22,208,152,576/75,464
  6. Step 6: Final answer
    x = 294,288.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.