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Finding the Third Proportional to 130,682 and 195,506

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Solution

The third proportional to 130,682 and 195,506 is: 292,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682 : 195,506 = 195,506 : x
  2. Step 2: Convert to fraction form
    130,682/195,506 = 195,506/x
  3. Step 3: Cross multiply
    130,682x = 195,506 × 195,506
  4. Step 4: Simplify right side
    130,682x = 38,222,596,036
  5. Step 5: Solve for x
    x = 38,222,596,036/130,682
  6. Step 6: Final answer
    x = 292,485.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.