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Finding the Third Proportional to 60,131.53 and 130,509.56

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Solution

The third proportional to 60,131.53 and 130,509.56 is: 283,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,131.53 : 130,509.56 = 130,509.56 : x
  2. Step 2: Convert to fraction form
    60,131.53/130,509.56 = 130,509.56/x
  3. Step 3: Cross multiply
    60,131.53x = 130,509.56 × 130,509.56
  4. Step 4: Simplify right side
    60,131.53x = 17,032,745,903.94
  5. Step 5: Solve for x
    x = 17,032,745,903.94/60,131.53
  6. Step 6: Final answer
    x = 283,258.14

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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.