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Finding the Third Proportional to 71,506.41 and 155,314.13

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Solution

The third proportional to 71,506.41 and 155,314.13 is: 337,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.41 : 155,314.13 = 155,314.13 : x
  2. Step 2: Convert to fraction form
    71,506.41/155,314.13 = 155,314.13/x
  3. Step 3: Cross multiply
    71,506.41x = 155,314.13 × 155,314.13
  4. Step 4: Simplify right side
    71,506.41x = 24,122,477,424.52
  5. Step 5: Solve for x
    x = 24,122,477,424.52/71,506.41
  6. Step 6: Final answer
    x = 337,347.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.