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Finding the Third Proportional to 73,164 and 172,536

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Solution

The third proportional to 73,164 and 172,536 is: 406,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164 : 172,536 = 172,536 : x
  2. Step 2: Convert to fraction form
    73,164/172,536 = 172,536/x
  3. Step 3: Cross multiply
    73,164x = 172,536 × 172,536
  4. Step 4: Simplify right side
    73,164x = 29,768,671,296
  5. Step 5: Solve for x
    x = 29,768,671,296/73,164
  6. Step 6: Final answer
    x = 406,875.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.