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Finding the Third Proportional to 84,585 and 183,747

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Solution

The third proportional to 84,585 and 183,747 is: 399,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585 : 183,747 = 183,747 : x
  2. Step 2: Convert to fraction form
    84,585/183,747 = 183,747/x
  3. Step 3: Cross multiply
    84,585x = 183,747 × 183,747
  4. Step 4: Simplify right side
    84,585x = 33,762,960,009
  5. Step 5: Solve for x
    x = 33,762,960,009/84,585
  6. Step 6: Final answer
    x = 399,160.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.