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Finding the Third Proportional to 61,605 and 90,211.50

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Solution

The third proportional to 61,605 and 90,211.50 is: 132,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605 : 90,211.50 = 90,211.50 : x
  2. Step 2: Convert to fraction form
    61,605/90,211.50 = 90,211.50/x
  3. Step 3: Cross multiply
    61,605x = 90,211.50 × 90,211.50
  4. Step 4: Simplify right side
    61,605x = 8,138,114,732.25
  5. Step 5: Solve for x
    x = 8,138,114,732.25/61,605
  6. Step 6: Final answer
    x = 132,101.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.