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Finding the Third Proportional to 85,111 and 134,707

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Solution

The third proportional to 85,111 and 134,707 is: 213,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,111 : 134,707 = 134,707 : x
  2. Step 2: Convert to fraction form
    85,111/134,707 = 134,707/x
  3. Step 3: Cross multiply
    85,111x = 134,707 × 134,707
  4. Step 4: Simplify right side
    85,111x = 18,145,975,849
  5. Step 5: Solve for x
    x = 18,145,975,849/85,111
  6. Step 6: Final answer
    x = 213,203.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.