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Finding the Third Proportional to 52,904 and 113,090

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Solution

The third proportional to 52,904 and 113,090 is: 241,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,904 : 113,090 = 113,090 : x
  2. Step 2: Convert to fraction form
    52,904/113,090 = 113,090/x
  3. Step 3: Cross multiply
    52,904x = 113,090 × 113,090
  4. Step 4: Simplify right side
    52,904x = 12,789,348,100
  5. Step 5: Solve for x
    x = 12,789,348,100/52,904
  6. Step 6: Final answer
    x = 241,746.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.