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Finding the Third Proportional to 63,837 and 89,239.50

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Solution

The third proportional to 63,837 and 89,239.50 is: 124,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,837 : 89,239.50 = 89,239.50 : x
  2. Step 2: Convert to fraction form
    63,837/89,239.50 = 89,239.50/x
  3. Step 3: Cross multiply
    63,837x = 89,239.50 × 89,239.50
  4. Step 4: Simplify right side
    63,837x = 7,963,688,360.25
  5. Step 5: Solve for x
    x = 7,963,688,360.25/63,837
  6. Step 6: Final answer
    x = 124,750.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.