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Finding the Third Proportional to 53,898.75 and 117,244.13

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Solution

The third proportional to 53,898.75 and 117,244.13 is: 255,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898.75 : 117,244.13 = 117,244.13 : x
  2. Step 2: Convert to fraction form
    53,898.75/117,244.13 = 117,244.13/x
  3. Step 3: Cross multiply
    53,898.75x = 117,244.13 × 117,244.13
  4. Step 4: Simplify right side
    53,898.75x = 13,746,184,847.02
  5. Step 5: Solve for x
    x = 13,746,184,847.02/53,898.75
  6. Step 6: Final answer
    x = 255,037.17

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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.