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Finding the Third Proportional to 60,406.25 and 130,768

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Solution

The third proportional to 60,406.25 and 130,768 is: 283,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,406.25 : 130,768 = 130,768 : x
  2. Step 2: Convert to fraction form
    60,406.25/130,768 = 130,768/x
  3. Step 3: Cross multiply
    60,406.25x = 130,768 × 130,768
  4. Step 4: Simplify right side
    60,406.25x = 17,100,269,824
  5. Step 5: Solve for x
    x = 17,100,269,824/60,406.25
  6. Step 6: Final answer
    x = 283,087.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.