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Finding the Third Proportional to 56,479.92 and 122,258.25

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Solution

The third proportional to 56,479.92 and 122,258.25 is: 264,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,479.92 : 122,258.25 = 122,258.25 : x
  2. Step 2: Convert to fraction form
    56,479.92/122,258.25 = 122,258.25/x
  3. Step 3: Cross multiply
    56,479.92x = 122,258.25 × 122,258.25
  4. Step 4: Simplify right side
    56,479.92x = 14,947,079,693.06
  5. Step 5: Solve for x
    x = 14,947,079,693.06/56,479.92
  6. Step 6: Final answer
    x = 264,644.13

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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.