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Finding the Third Proportional to 71,466.75 and 152,424

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Solution

The third proportional to 71,466.75 and 152,424 is: 325,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466.75 : 152,424 = 152,424 : x
  2. Step 2: Convert to fraction form
    71,466.75/152,424 = 152,424/x
  3. Step 3: Cross multiply
    71,466.75x = 152,424 × 152,424
  4. Step 4: Simplify right side
    71,466.75x = 23,233,075,776
  5. Step 5: Solve for x
    x = 23,233,075,776/71,466.75
  6. Step 6: Final answer
    x = 325,089.30

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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.