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Finding the Third Proportional to 63,082 and 97,660.50

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Solution

The third proportional to 63,082 and 97,660.50 is: 151,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,082 : 97,660.50 = 97,660.50 : x
  2. Step 2: Convert to fraction form
    63,082/97,660.50 = 97,660.50/x
  3. Step 3: Cross multiply
    63,082x = 97,660.50 × 97,660.50
  4. Step 4: Simplify right side
    63,082x = 9,537,573,260.25
  5. Step 5: Solve for x
    x = 9,537,573,260.25/63,082
  6. Step 6: Final answer
    x = 151,193.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.