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Finding the Third Proportional to 56,426.63 and 122,968.13

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Solution

The third proportional to 56,426.63 and 122,968.13 is: 267,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,426.63 : 122,968.13 = 122,968.13 : x
  2. Step 2: Convert to fraction form
    56,426.63/122,968.13 = 122,968.13/x
  3. Step 3: Cross multiply
    56,426.63x = 122,968.13 × 122,968.13
  4. Step 4: Simplify right side
    56,426.63x = 15,121,159,766.02
  5. Step 5: Solve for x
    x = 15,121,159,766.02/56,426.63
  6. Step 6: Final answer
    x = 267,979.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.