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Finding the Third Proportional to 63,003 and 84,064.50

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Solution

The third proportional to 63,003 and 84,064.50 is: 112,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,003 : 84,064.50 = 84,064.50 : x
  2. Step 2: Convert to fraction form
    63,003/84,064.50 = 84,064.50/x
  3. Step 3: Cross multiply
    63,003x = 84,064.50 × 84,064.50
  4. Step 4: Simplify right side
    63,003x = 7,066,840,160.25
  5. Step 5: Solve for x
    x = 7,066,840,160.25/63,003
  6. Step 6: Final answer
    x = 112,166.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.