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Finding the Third Proportional to 63,225 and 84,568.50

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Solution

The third proportional to 63,225 and 84,568.50 is: 113,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225 : 84,568.50 = 84,568.50 : x
  2. Step 2: Convert to fraction form
    63,225/84,568.50 = 84,568.50/x
  3. Step 3: Cross multiply
    63,225x = 84,568.50 × 84,568.50
  4. Step 4: Simplify right side
    63,225x = 7,151,831,192.25
  5. Step 5: Solve for x
    x = 7,151,831,192.25/63,225
  6. Step 6: Final answer
    x = 113,117.14

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.