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Finding the Third Proportional to 82,958 and 125,130

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Solution

The third proportional to 82,958 and 125,130 is: 188,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,958 : 125,130 = 125,130 : x
  2. Step 2: Convert to fraction form
    82,958/125,130 = 125,130/x
  3. Step 3: Cross multiply
    82,958x = 125,130 × 125,130
  4. Step 4: Simplify right side
    82,958x = 15,657,516,900
  5. Step 5: Solve for x
    x = 15,657,516,900/82,958
  6. Step 6: Final answer
    x = 188,740.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.