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Finding the Third Proportional to 53,023.06 and 113,636.22

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Solution

The third proportional to 53,023.06 and 113,636.22 is: 243,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,023.06 : 113,636.22 = 113,636.22 : x
  2. Step 2: Convert to fraction form
    53,023.06/113,636.22 = 113,636.22/x
  3. Step 3: Cross multiply
    53,023.06x = 113,636.22 × 113,636.22
  4. Step 4: Simplify right side
    53,023.06x = 12,913,190,211.80
  5. Step 5: Solve for x
    x = 12,913,190,211.80/53,023.06
  6. Step 6: Final answer
    x = 243,539.12

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Why These Related Problems?

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