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Finding the Third Proportional to 65,845.50 and 145,927.50

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Solution

The third proportional to 65,845.50 and 145,927.50 is: 323,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,845.50 : 145,927.50 = 145,927.50 : x
  2. Step 2: Convert to fraction form
    65,845.50/145,927.50 = 145,927.50/x
  3. Step 3: Cross multiply
    65,845.50x = 145,927.50 × 145,927.50
  4. Step 4: Simplify right side
    65,845.50x = 21,294,835,256.25
  5. Step 5: Solve for x
    x = 21,294,835,256.25/65,845.50
  6. Step 6: Final answer
    x = 323,406.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.