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Finding the Third Proportional to 102,186 and 156,951

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Solution

The third proportional to 102,186 and 156,951 is: 241,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186 : 156,951 = 156,951 : x
  2. Step 2: Convert to fraction form
    102,186/156,951 = 156,951/x
  3. Step 3: Cross multiply
    102,186x = 156,951 × 156,951
  4. Step 4: Simplify right side
    102,186x = 24,633,616,401
  5. Step 5: Solve for x
    x = 24,633,616,401/102,186
  6. Step 6: Final answer
    x = 241,066.45

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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.