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Finding the Third Proportional to 53,308.69 and 113,998.50

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Solution

The third proportional to 53,308.69 and 113,998.50 is: 243,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,308.69 : 113,998.50 = 113,998.50 : x
  2. Step 2: Convert to fraction form
    53,308.69/113,998.50 = 113,998.50/x
  3. Step 3: Cross multiply
    53,308.69x = 113,998.50 × 113,998.50
  4. Step 4: Simplify right side
    53,308.69x = 12,995,658,002.25
  5. Step 5: Solve for x
    x = 12,995,658,002.25/53,308.69
  6. Step 6: Final answer
    x = 243,781.24

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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.