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Finding the Third Proportional to 73,585 and 155,937

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Solution

The third proportional to 73,585 and 155,937 is: 330,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,585 : 155,937 = 155,937 : x
  2. Step 2: Convert to fraction form
    73,585/155,937 = 155,937/x
  3. Step 3: Cross multiply
    73,585x = 155,937 × 155,937
  4. Step 4: Simplify right side
    73,585x = 24,316,347,969
  5. Step 5: Solve for x
    x = 24,316,347,969/73,585
  6. Step 6: Final answer
    x = 330,452.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.