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Finding the Third Proportional to 139,857 and 215,095

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Solution

The third proportional to 139,857 and 215,095 is: 330,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857 : 215,095 = 215,095 : x
  2. Step 2: Convert to fraction form
    139,857/215,095 = 215,095/x
  3. Step 3: Cross multiply
    139,857x = 215,095 × 215,095
  4. Step 4: Simplify right side
    139,857x = 46,265,859,025
  5. Step 5: Solve for x
    x = 46,265,859,025/139,857
  6. Step 6: Final answer
    x = 330,808.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.