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Finding the Third Proportional to 65,093.63 and 98,733.94

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Solution

The third proportional to 65,093.63 and 98,733.94 is: 149,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.63 : 98,733.94 = 98,733.94 : x
  2. Step 2: Convert to fraction form
    65,093.63/98,733.94 = 98,733.94/x
  3. Step 3: Cross multiply
    65,093.63x = 98,733.94 × 98,733.94
  4. Step 4: Simplify right side
    65,093.63x = 9,748,390,414.25
  5. Step 5: Solve for x
    x = 9,748,390,414.25/65,093.63
  6. Step 6: Final answer
    x = 149,759.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.