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Finding the Third Proportional to 139,026 and 230,106

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Solution

The third proportional to 139,026 and 230,106 is: 380,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,026 : 230,106 = 230,106 : x
  2. Step 2: Convert to fraction form
    139,026/230,106 = 230,106/x
  3. Step 3: Cross multiply
    139,026x = 230,106 × 230,106
  4. Step 4: Simplify right side
    139,026x = 52,948,771,236
  5. Step 5: Solve for x
    x = 52,948,771,236/139,026
  6. Step 6: Final answer
    x = 380,855.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.