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Finding the Third Proportional to 135,670 and 207,537

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Solution

The third proportional to 135,670 and 207,537 is: 317,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,670 : 207,537 = 207,537 : x
  2. Step 2: Convert to fraction form
    135,670/207,537 = 207,537/x
  3. Step 3: Cross multiply
    135,670x = 207,537 × 207,537
  4. Step 4: Simplify right side
    135,670x = 43,071,606,369
  5. Step 5: Solve for x
    x = 43,071,606,369/135,670
  6. Step 6: Final answer
    x = 317,473.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.