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Finding the Third Proportional to 85,547 and 206,091

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Solution

The third proportional to 85,547 and 206,091 is: 496,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,547 : 206,091 = 206,091 : x
  2. Step 2: Convert to fraction form
    85,547/206,091 = 206,091/x
  3. Step 3: Cross multiply
    85,547x = 206,091 × 206,091
  4. Step 4: Simplify right side
    85,547x = 42,473,500,281
  5. Step 5: Solve for x
    x = 42,473,500,281/85,547
  6. Step 6: Final answer
    x = 496,493.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.