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Finding the Third Proportional to 53,912 and 116,986.50

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Solution

The third proportional to 53,912 and 116,986.50 is: 253,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912 : 116,986.50 = 116,986.50 : x
  2. Step 2: Convert to fraction form
    53,912/116,986.50 = 116,986.50/x
  3. Step 3: Cross multiply
    53,912x = 116,986.50 × 116,986.50
  4. Step 4: Simplify right side
    53,912x = 13,685,841,182.25
  5. Step 5: Solve for x
    x = 13,685,841,182.25/53,912
  6. Step 6: Final answer
    x = 253,855.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.