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Finding the Third Proportional to 130,735.69 and 202,015.69

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Solution

The third proportional to 130,735.69 and 202,015.69 is: 312,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,735.69 : 202,015.69 = 202,015.69 : x
  2. Step 2: Convert to fraction form
    130,735.69/202,015.69 = 202,015.69/x
  3. Step 3: Cross multiply
    130,735.69x = 202,015.69 × 202,015.69
  4. Step 4: Simplify right side
    130,735.69x = 40,810,337,996.10
  5. Step 5: Solve for x
    x = 40,810,337,996.10/130,735.69
  6. Step 6: Final answer
    x = 312,159.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.