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Finding the Third Proportional to 80,130 and 185,497

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Solution

The third proportional to 80,130 and 185,497 is: 429,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,130 : 185,497 = 185,497 : x
  2. Step 2: Convert to fraction form
    80,130/185,497 = 185,497/x
  3. Step 3: Cross multiply
    80,130x = 185,497 × 185,497
  4. Step 4: Simplify right side
    80,130x = 34,409,137,009
  5. Step 5: Solve for x
    x = 34,409,137,009/80,130
  6. Step 6: Final answer
    x = 429,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.