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Finding the Third Proportional to 60,351.75 and 130,782.94

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Solution

The third proportional to 60,351.75 and 130,782.94 is: 283,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,351.75 : 130,782.94 = 130,782.94 : x
  2. Step 2: Convert to fraction form
    60,351.75/130,782.94 = 130,782.94/x
  3. Step 3: Cross multiply
    60,351.75x = 130,782.94 × 130,782.94
  4. Step 4: Simplify right side
    60,351.75x = 17,104,176,741.13
  5. Step 5: Solve for x
    x = 17,104,176,741.13/60,351.75
  6. Step 6: Final answer
    x = 283,408.13

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Why These Related Problems?

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