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Finding the Third Proportional to 133,071 and 205,553

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Solution

The third proportional to 133,071 and 205,553 is: 317,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 205,553 = 205,553 : x
  2. Step 2: Convert to fraction form
    133,071/205,553 = 205,553/x
  3. Step 3: Cross multiply
    133,071x = 205,553 × 205,553
  4. Step 4: Simplify right side
    133,071x = 42,252,035,809
  5. Step 5: Solve for x
    x = 42,252,035,809/133,071
  6. Step 6: Final answer
    x = 317,514.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.