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Finding the Third Proportional to 73,680 and 160,854

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Solution

The third proportional to 73,680 and 160,854 is: 351,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,680 : 160,854 = 160,854 : x
  2. Step 2: Convert to fraction form
    73,680/160,854 = 160,854/x
  3. Step 3: Cross multiply
    73,680x = 160,854 × 160,854
  4. Step 4: Simplify right side
    73,680x = 25,874,009,316
  5. Step 5: Solve for x
    x = 25,874,009,316/73,680
  6. Step 6: Final answer
    x = 351,167.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.