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Finding the Third Proportional to 60,133.75 and 130,514.75

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Solution

The third proportional to 60,133.75 and 130,514.75 is: 283,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,133.75 : 130,514.75 = 130,514.75 : x
  2. Step 2: Convert to fraction form
    60,133.75/130,514.75 = 130,514.75/x
  3. Step 3: Cross multiply
    60,133.75x = 130,514.75 × 130,514.75
  4. Step 4: Simplify right side
    60,133.75x = 17,034,099,967.56
  5. Step 5: Solve for x
    x = 17,034,099,967.56/60,133.75
  6. Step 6: Final answer
    x = 283,270.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.