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Finding the Third Proportional to 53,226.75 and 116,416.13

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Solution

The third proportional to 53,226.75 and 116,416.13 is: 254,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,226.75 : 116,416.13 = 116,416.13 : x
  2. Step 2: Convert to fraction form
    53,226.75/116,416.13 = 116,416.13/x
  3. Step 3: Cross multiply
    53,226.75x = 116,416.13 × 116,416.13
  4. Step 4: Simplify right side
    53,226.75x = 13,552,714,160.02
  5. Step 5: Solve for x
    x = 13,552,714,160.02/53,226.75
  6. Step 6: Final answer
    x = 254,622.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.