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Finding the Third Proportional to 68,548.50 and 145,827

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Solution

The third proportional to 68,548.50 and 145,827 is: 310,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548.50 : 145,827 = 145,827 : x
  2. Step 2: Convert to fraction form
    68,548.50/145,827 = 145,827/x
  3. Step 3: Cross multiply
    68,548.50x = 145,827 × 145,827
  4. Step 4: Simplify right side
    68,548.50x = 21,265,513,929
  5. Step 5: Solve for x
    x = 21,265,513,929/68,548.50
  6. Step 6: Final answer
    x = 310,225.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.