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Finding the Third Proportional to 61,483.50 and 145,082

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Solution

The third proportional to 61,483.50 and 145,082 is: 342,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,483.50 : 145,082 = 145,082 : x
  2. Step 2: Convert to fraction form
    61,483.50/145,082 = 145,082/x
  3. Step 3: Cross multiply
    61,483.50x = 145,082 × 145,082
  4. Step 4: Simplify right side
    61,483.50x = 21,048,786,724
  5. Step 5: Solve for x
    x = 21,048,786,724/61,483.50
  6. Step 6: Final answer
    x = 342,348.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.