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Finding the Third Proportional to 55,536 and 119,820

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Solution

The third proportional to 55,536 and 119,820 is: 258,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536 : 119,820 = 119,820 : x
  2. Step 2: Convert to fraction form
    55,536/119,820 = 119,820/x
  3. Step 3: Cross multiply
    55,536x = 119,820 × 119,820
  4. Step 4: Simplify right side
    55,536x = 14,356,832,400
  5. Step 5: Solve for x
    x = 14,356,832,400/55,536
  6. Step 6: Final answer
    x = 258,513.98

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Why These Related Problems?

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