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Finding the Third Proportional to 57,696 and 121,223.50

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Solution

The third proportional to 57,696 and 121,223.50 is: 254,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696 : 121,223.50 = 121,223.50 : x
  2. Step 2: Convert to fraction form
    57,696/121,223.50 = 121,223.50/x
  3. Step 3: Cross multiply
    57,696x = 121,223.50 × 121,223.50
  4. Step 4: Simplify right side
    57,696x = 14,695,136,952.25
  5. Step 5: Solve for x
    x = 14,695,136,952.25/57,696
  6. Step 6: Final answer
    x = 254,699.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.