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Finding the Third Proportional to 60,420.94 and 130,797.28

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Solution

The third proportional to 60,420.94 and 130,797.28 is: 283,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,420.94 : 130,797.28 = 130,797.28 : x
  2. Step 2: Convert to fraction form
    60,420.94/130,797.28 = 130,797.28/x
  3. Step 3: Cross multiply
    60,420.94x = 130,797.28 × 130,797.28
  4. Step 4: Simplify right side
    60,420.94x = 17,107,928,782.39
  5. Step 5: Solve for x
    x = 17,107,928,782.39/60,420.94
  6. Step 6: Final answer
    x = 283,145.70

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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.