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Finding the Third Proportional to 53,425.50 and 114,001.50

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Solution

The third proportional to 53,425.50 and 114,001.50 is: 243,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.50 : 114,001.50 = 114,001.50 : x
  2. Step 2: Convert to fraction form
    53,425.50/114,001.50 = 114,001.50/x
  3. Step 3: Cross multiply
    53,425.50x = 114,001.50 × 114,001.50
  4. Step 4: Simplify right side
    53,425.50x = 12,996,342,002.25
  5. Step 5: Solve for x
    x = 12,996,342,002.25/53,425.50
  6. Step 6: Final answer
    x = 243,261.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.