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Finding the Third Proportional to 53,043 and 115,288.50

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Solution

The third proportional to 53,043 and 115,288.50 is: 250,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,043 : 115,288.50 = 115,288.50 : x
  2. Step 2: Convert to fraction form
    53,043/115,288.50 = 115,288.50/x
  3. Step 3: Cross multiply
    53,043x = 115,288.50 × 115,288.50
  4. Step 4: Simplify right side
    53,043x = 13,291,438,232.25
  5. Step 5: Solve for x
    x = 13,291,438,232.25/53,043
  6. Step 6: Final answer
    x = 250,578.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.