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Finding the Third Proportional to 53,041.50 and 114,387.75

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Solution

The third proportional to 53,041.50 and 114,387.75 is: 246,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,041.50 : 114,387.75 = 114,387.75 : x
  2. Step 2: Convert to fraction form
    53,041.50/114,387.75 = 114,387.75/x
  3. Step 3: Cross multiply
    53,041.50x = 114,387.75 × 114,387.75
  4. Step 4: Simplify right side
    53,041.50x = 13,084,557,350.06
  5. Step 5: Solve for x
    x = 13,084,557,350.06/53,041.50
  6. Step 6: Final answer
    x = 246,685.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.