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Finding the Third Proportional to 60,825.94 and 130,058.16

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Solution

The third proportional to 60,825.94 and 130,058.16 is: 278,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,825.94 : 130,058.16 = 130,058.16 : x
  2. Step 2: Convert to fraction form
    60,825.94/130,058.16 = 130,058.16/x
  3. Step 3: Cross multiply
    60,825.94x = 130,058.16 × 130,058.16
  4. Step 4: Simplify right side
    60,825.94x = 16,915,124,007.15
  5. Step 5: Solve for x
    x = 16,915,124,007.15/60,825.94
  6. Step 6: Final answer
    x = 278,090.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.