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Finding the Third Proportional to 52,810.75 and 117,429

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Solution

The third proportional to 52,810.75 and 117,429 is: 261,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810.75 : 117,429 = 117,429 : x
  2. Step 2: Convert to fraction form
    52,810.75/117,429 = 117,429/x
  3. Step 3: Cross multiply
    52,810.75x = 117,429 × 117,429
  4. Step 4: Simplify right side
    52,810.75x = 13,789,570,041
  5. Step 5: Solve for x
    x = 13,789,570,041/52,810.75
  6. Step 6: Final answer
    x = 261,112.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.