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Finding the Third Proportional to 64,701 and 99,099

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Solution

The third proportional to 64,701 and 99,099 is: 151,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701 : 99,099 = 99,099 : x
  2. Step 2: Convert to fraction form
    64,701/99,099 = 99,099/x
  3. Step 3: Cross multiply
    64,701x = 99,099 × 99,099
  4. Step 4: Simplify right side
    64,701x = 9,820,611,801
  5. Step 5: Solve for x
    x = 9,820,611,801/64,701
  6. Step 6: Final answer
    x = 151,784.54

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Why These Related Problems?

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