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Finding the Third Proportional to 65,427.75 and 93,463.88

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Solution

The third proportional to 65,427.75 and 93,463.88 is: 133,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427.75 : 93,463.88 = 93,463.88 : x
  2. Step 2: Convert to fraction form
    65,427.75/93,463.88 = 93,463.88/x
  3. Step 3: Cross multiply
    65,427.75x = 93,463.88 × 93,463.88
  4. Step 4: Simplify right side
    65,427.75x = 8,735,495,930.02
  5. Step 5: Solve for x
    x = 8,735,495,930.02/65,427.75
  6. Step 6: Final answer
    x = 133,513.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.