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Finding the Third Proportional to 125,989 and 195,084

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Solution

The third proportional to 125,989 and 195,084 is: 302,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,989 : 195,084 = 195,084 : x
  2. Step 2: Convert to fraction form
    125,989/195,084 = 195,084/x
  3. Step 3: Cross multiply
    125,989x = 195,084 × 195,084
  4. Step 4: Simplify right side
    125,989x = 38,057,767,056
  5. Step 5: Solve for x
    x = 38,057,767,056/125,989
  6. Step 6: Final answer
    x = 302,072.14

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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.