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Finding the Third Proportional to 53,903.25 and 113,392.13

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Solution

The third proportional to 53,903.25 and 113,392.13 is: 238,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.25 : 113,392.13 = 113,392.13 : x
  2. Step 2: Convert to fraction form
    53,903.25/113,392.13 = 113,392.13/x
  3. Step 3: Cross multiply
    53,903.25x = 113,392.13 × 113,392.13
  4. Step 4: Simplify right side
    53,903.25x = 12,857,774,012.02
  5. Step 5: Solve for x
    x = 12,857,774,012.02/53,903.25
  6. Step 6: Final answer
    x = 238,534.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.