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Finding the Third Proportional to 146,094 and 195,084

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Solution

The third proportional to 146,094 and 195,084 is: 260,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,094 : 195,084 = 195,084 : x
  2. Step 2: Convert to fraction form
    146,094/195,084 = 195,084/x
  3. Step 3: Cross multiply
    146,094x = 195,084 × 195,084
  4. Step 4: Simplify right side
    146,094x = 38,057,767,056
  5. Step 5: Solve for x
    x = 38,057,767,056/146,094
  6. Step 6: Final answer
    x = 260,501.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.