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Finding the Third Proportional to 62,565.75 and 130,308.75

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Solution

The third proportional to 62,565.75 and 130,308.75 is: 271,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,565.75 : 130,308.75 = 130,308.75 : x
  2. Step 2: Convert to fraction form
    62,565.75/130,308.75 = 130,308.75/x
  3. Step 3: Cross multiply
    62,565.75x = 130,308.75 × 130,308.75
  4. Step 4: Simplify right side
    62,565.75x = 16,980,370,326.56
  5. Step 5: Solve for x
    x = 16,980,370,326.56/62,565.75
  6. Step 6: Final answer
    x = 271,400.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.