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Finding the Third Proportional to 53,841 and 110,368.50

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Solution

The third proportional to 53,841 and 110,368.50 is: 226,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841 : 110,368.50 = 110,368.50 : x
  2. Step 2: Convert to fraction form
    53,841/110,368.50 = 110,368.50/x
  3. Step 3: Cross multiply
    53,841x = 110,368.50 × 110,368.50
  4. Step 4: Simplify right side
    53,841x = 12,181,205,792.25
  5. Step 5: Solve for x
    x = 12,181,205,792.25/53,841
  6. Step 6: Final answer
    x = 226,244.05

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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.