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Finding the Third Proportional to 75,464 and 164,032

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Solution

The third proportional to 75,464 and 164,032 is: 356,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464 : 164,032 = 164,032 : x
  2. Step 2: Convert to fraction form
    75,464/164,032 = 164,032/x
  3. Step 3: Cross multiply
    75,464x = 164,032 × 164,032
  4. Step 4: Simplify right side
    75,464x = 26,906,497,024
  5. Step 5: Solve for x
    x = 26,906,497,024/75,464
  6. Step 6: Final answer
    x = 356,547.45

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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.