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Finding the Third Proportional to 55,461 and 121,704

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Solution

The third proportional to 55,461 and 121,704 is: 267,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461 : 121,704 = 121,704 : x
  2. Step 2: Convert to fraction form
    55,461/121,704 = 121,704/x
  3. Step 3: Cross multiply
    55,461x = 121,704 × 121,704
  4. Step 4: Simplify right side
    55,461x = 14,811,863,616
  5. Step 5: Solve for x
    x = 14,811,863,616/55,461
  6. Step 6: Final answer
    x = 267,068.09

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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.