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Finding the Third Proportional to 99,010 and 134,524.50

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Solution

The third proportional to 99,010 and 134,524.50 is: 182,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,010 : 134,524.50 = 134,524.50 : x
  2. Step 2: Convert to fraction form
    99,010/134,524.50 = 134,524.50/x
  3. Step 3: Cross multiply
    99,010x = 134,524.50 × 134,524.50
  4. Step 4: Simplify right side
    99,010x = 18,096,841,100.25
  5. Step 5: Solve for x
    x = 18,096,841,100.25/99,010
  6. Step 6: Final answer
    x = 182,777.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.