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Finding the Third Proportional to 55,068 and 120,690

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Solution

The third proportional to 55,068 and 120,690 is: 264,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,068 : 120,690 = 120,690 : x
  2. Step 2: Convert to fraction form
    55,068/120,690 = 120,690/x
  3. Step 3: Cross multiply
    55,068x = 120,690 × 120,690
  4. Step 4: Simplify right side
    55,068x = 14,566,076,100
  5. Step 5: Solve for x
    x = 14,566,076,100/55,068
  6. Step 6: Final answer
    x = 264,510.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.