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Finding the Third Proportional to 122,820 and 195,301.50

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Solution

The third proportional to 122,820 and 195,301.50 is: 310,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,820 : 195,301.50 = 195,301.50 : x
  2. Step 2: Convert to fraction form
    122,820/195,301.50 = 195,301.50/x
  3. Step 3: Cross multiply
    122,820x = 195,301.50 × 195,301.50
  4. Step 4: Simplify right side
    122,820x = 38,142,675,902.25
  5. Step 5: Solve for x
    x = 38,142,675,902.25/122,820
  6. Step 6: Final answer
    x = 310,557.53

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