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Finding the Third Proportional to 130,786 and 185,114

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Solution

The third proportional to 130,786 and 185,114 is: 262,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,786 : 185,114 = 185,114 : x
  2. Step 2: Convert to fraction form
    130,786/185,114 = 185,114/x
  3. Step 3: Cross multiply
    130,786x = 185,114 × 185,114
  4. Step 4: Simplify right side
    130,786x = 34,267,192,996
  5. Step 5: Solve for x
    x = 34,267,192,996/130,786
  6. Step 6: Final answer
    x = 262,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.