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Finding the Third Proportional to 52,042.50 and 114,291

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Solution

The third proportional to 52,042.50 and 114,291 is: 250,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.50 : 114,291 = 114,291 : x
  2. Step 2: Convert to fraction form
    52,042.50/114,291 = 114,291/x
  3. Step 3: Cross multiply
    52,042.50x = 114,291 × 114,291
  4. Step 4: Simplify right side
    52,042.50x = 13,062,432,681
  5. Step 5: Solve for x
    x = 13,062,432,681/52,042.50
  6. Step 6: Final answer
    x = 250,995.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.