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Finding the Third Proportional to 52,954 and 113,586

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Solution

The third proportional to 52,954 and 113,586 is: 243,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954 : 113,586 = 113,586 : x
  2. Step 2: Convert to fraction form
    52,954/113,586 = 113,586/x
  3. Step 3: Cross multiply
    52,954x = 113,586 × 113,586
  4. Step 4: Simplify right side
    52,954x = 12,901,779,396
  5. Step 5: Solve for x
    x = 12,901,779,396/52,954
  6. Step 6: Final answer
    x = 243,641.26

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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.