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Finding the Third Proportional to 146,090 and 195,078

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Solution

The third proportional to 146,090 and 195,078 is: 260,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090 : 195,078 = 195,078 : x
  2. Step 2: Convert to fraction form
    146,090/195,078 = 195,078/x
  3. Step 3: Cross multiply
    146,090x = 195,078 × 195,078
  4. Step 4: Simplify right side
    146,090x = 38,055,426,084
  5. Step 5: Solve for x
    x = 38,055,426,084/146,090
  6. Step 6: Final answer
    x = 260,493.03

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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.