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Finding the Third Proportional to 53,334 and 71,563.50

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Solution

The third proportional to 53,334 and 71,563.50 is: 96,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,334 : 71,563.50 = 71,563.50 : x
  2. Step 2: Convert to fraction form
    53,334/71,563.50 = 71,563.50/x
  3. Step 3: Cross multiply
    53,334x = 71,563.50 × 71,563.50
  4. Step 4: Simplify right side
    53,334x = 5,121,334,532.25
  5. Step 5: Solve for x
    x = 5,121,334,532.25/53,334
  6. Step 6: Final answer
    x = 96,023.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.