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Finding the Third Proportional to 133,067 and 205,547

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Solution

The third proportional to 133,067 and 205,547 is: 317,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067 : 205,547 = 205,547 : x
  2. Step 2: Convert to fraction form
    133,067/205,547 = 205,547/x
  3. Step 3: Cross multiply
    133,067x = 205,547 × 205,547
  4. Step 4: Simplify right side
    133,067x = 42,249,569,209
  5. Step 5: Solve for x
    x = 42,249,569,209/133,067
  6. Step 6: Final answer
    x = 317,505.99

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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.