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Finding the Third Proportional to 71,457.75 and 152,406

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Solution

The third proportional to 71,457.75 and 152,406 is: 325,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.75 : 152,406 = 152,406 : x
  2. Step 2: Convert to fraction form
    71,457.75/152,406 = 152,406/x
  3. Step 3: Cross multiply
    71,457.75x = 152,406 × 152,406
  4. Step 4: Simplify right side
    71,457.75x = 23,227,588,836
  5. Step 5: Solve for x
    x = 23,227,588,836/71,457.75
  6. Step 6: Final answer
    x = 325,053.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.