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Finding the Third Proportional to 82,329 and 130,923

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Solution

The third proportional to 82,329 and 130,923 is: 208,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329 : 130,923 = 130,923 : x
  2. Step 2: Convert to fraction form
    82,329/130,923 = 130,923/x
  3. Step 3: Cross multiply
    82,329x = 130,923 × 130,923
  4. Step 4: Simplify right side
    82,329x = 17,140,831,929
  5. Step 5: Solve for x
    x = 17,140,831,929/82,329
  6. Step 6: Final answer
    x = 208,199.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.