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Finding the Third Proportional to 40,074 and 85,707

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Solution

The third proportional to 40,074 and 85,707 is: 183,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,074 : 85,707 = 85,707 : x
  2. Step 2: Convert to fraction form
    40,074/85,707 = 85,707/x
  3. Step 3: Cross multiply
    40,074x = 85,707 × 85,707
  4. Step 4: Simplify right side
    40,074x = 7,345,689,849
  5. Step 5: Solve for x
    x = 7,345,689,849/40,074
  6. Step 6: Final answer
    x = 183,303.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.