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Finding the Third Proportional to 53,187 and 109,113

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Solution

The third proportional to 53,187 and 109,113 is: 223,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,187 : 109,113 = 109,113 : x
  2. Step 2: Convert to fraction form
    53,187/109,113 = 109,113/x
  3. Step 3: Cross multiply
    53,187x = 109,113 × 109,113
  4. Step 4: Simplify right side
    53,187x = 11,905,646,769
  5. Step 5: Solve for x
    x = 11,905,646,769/53,187
  6. Step 6: Final answer
    x = 223,845.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.