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Finding the Third Proportional to 125,457.75 and 178,844.50

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Solution

The third proportional to 125,457.75 and 178,844.50 is: 254,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,457.75 : 178,844.50 = 178,844.50 : x
  2. Step 2: Convert to fraction form
    125,457.75/178,844.50 = 178,844.50/x
  3. Step 3: Cross multiply
    125,457.75x = 178,844.50 × 178,844.50
  4. Step 4: Simplify right side
    125,457.75x = 31,985,355,180.25
  5. Step 5: Solve for x
    x = 31,985,355,180.25/125,457.75
  6. Step 6: Final answer
    x = 254,949.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.