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Finding the Third Proportional to 110,081 and 130,007

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Solution

The third proportional to 110,081 and 130,007 is: 153,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,081 : 130,007 = 130,007 : x
  2. Step 2: Convert to fraction form
    110,081/130,007 = 130,007/x
  3. Step 3: Cross multiply
    110,081x = 130,007 × 130,007
  4. Step 4: Simplify right side
    110,081x = 16,901,820,049
  5. Step 5: Solve for x
    x = 16,901,820,049/110,081
  6. Step 6: Final answer
    x = 153,539.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.