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Finding the Third Proportional to 130,659.75 and 195,480

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Solution

The third proportional to 130,659.75 and 195,480 is: 292,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,659.75 : 195,480 = 195,480 : x
  2. Step 2: Convert to fraction form
    130,659.75/195,480 = 195,480/x
  3. Step 3: Cross multiply
    130,659.75x = 195,480 × 195,480
  4. Step 4: Simplify right side
    130,659.75x = 38,212,430,400
  5. Step 5: Solve for x
    x = 38,212,430,400/130,659.75
  6. Step 6: Final answer
    x = 292,457.55

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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.