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Finding the Third Proportional to 56,605.50 and 122,436

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Solution

The third proportional to 56,605.50 and 122,436 is: 264,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.50 : 122,436 = 122,436 : x
  2. Step 2: Convert to fraction form
    56,605.50/122,436 = 122,436/x
  3. Step 3: Cross multiply
    56,605.50x = 122,436 × 122,436
  4. Step 4: Simplify right side
    56,605.50x = 14,990,574,096
  5. Step 5: Solve for x
    x = 14,990,574,096/56,605.50
  6. Step 6: Final answer
    x = 264,825.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.