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Finding the Third Proportional to 130,506.19 and 143,992.69

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Solution

The third proportional to 130,506.19 and 143,992.69 is: 158,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,506.19 : 143,992.69 = 143,992.69 : x
  2. Step 2: Convert to fraction form
    130,506.19/143,992.69 = 143,992.69/x
  3. Step 3: Cross multiply
    130,506.19x = 143,992.69 × 143,992.69
  4. Step 4: Simplify right side
    130,506.19x = 20,733,894,053.47
  5. Step 5: Solve for x
    x = 20,733,894,053.47/130,506.19
  6. Step 6: Final answer
    x = 158,872.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.