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Finding the Third Proportional to 60,662 and 92,693.50

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Solution

The third proportional to 60,662 and 92,693.50 is: 141,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,662 : 92,693.50 = 92,693.50 : x
  2. Step 2: Convert to fraction form
    60,662/92,693.50 = 92,693.50/x
  3. Step 3: Cross multiply
    60,662x = 92,693.50 × 92,693.50
  4. Step 4: Simplify right side
    60,662x = 8,592,084,942.25
  5. Step 5: Solve for x
    x = 8,592,084,942.25/60,662
  6. Step 6: Final answer
    x = 141,638.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.