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Finding the Third Proportional to 84,672 and 185,087

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Solution

The third proportional to 84,672 and 185,087 is: 404,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,672 : 185,087 = 185,087 : x
  2. Step 2: Convert to fraction form
    84,672/185,087 = 185,087/x
  3. Step 3: Cross multiply
    84,672x = 185,087 × 185,087
  4. Step 4: Simplify right side
    84,672x = 34,257,197,569
  5. Step 5: Solve for x
    x = 34,257,197,569/84,672
  6. Step 6: Final answer
    x = 404,587.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.