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Finding the Third Proportional to 170,730 and 186,039

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Solution

The third proportional to 170,730 and 186,039 is: 202,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,730 : 186,039 = 186,039 : x
  2. Step 2: Convert to fraction form
    170,730/186,039 = 186,039/x
  3. Step 3: Cross multiply
    170,730x = 186,039 × 186,039
  4. Step 4: Simplify right side
    170,730x = 34,610,509,521
  5. Step 5: Solve for x
    x = 34,610,509,521/170,730
  6. Step 6: Final answer
    x = 202,720.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.