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Finding the Third Proportional to 53,017.50 and 115,561.50

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Solution

The third proportional to 53,017.50 and 115,561.50 is: 251,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,017.50 : 115,561.50 = 115,561.50 : x
  2. Step 2: Convert to fraction form
    53,017.50/115,561.50 = 115,561.50/x
  3. Step 3: Cross multiply
    53,017.50x = 115,561.50 × 115,561.50
  4. Step 4: Simplify right side
    53,017.50x = 13,354,460,282.25
  5. Step 5: Solve for x
    x = 13,354,460,282.25/53,017.50
  6. Step 6: Final answer
    x = 251,887.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.