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Finding the Third Proportional to 60,713 and 84,923.50

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Solution

The third proportional to 60,713 and 84,923.50 is: 118,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,713 : 84,923.50 = 84,923.50 : x
  2. Step 2: Convert to fraction form
    60,713/84,923.50 = 84,923.50/x
  3. Step 3: Cross multiply
    60,713x = 84,923.50 × 84,923.50
  4. Step 4: Simplify right side
    60,713x = 7,212,000,852.25
  5. Step 5: Solve for x
    x = 7,212,000,852.25/60,713
  6. Step 6: Final answer
    x = 118,788.41

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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.