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Finding the Third Proportional to 55,428 and 114,124

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Solution

The third proportional to 55,428 and 114,124 is: 234,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428 : 114,124 = 114,124 : x
  2. Step 2: Convert to fraction form
    55,428/114,124 = 114,124/x
  3. Step 3: Cross multiply
    55,428x = 114,124 × 114,124
  4. Step 4: Simplify right side
    55,428x = 13,024,287,376
  5. Step 5: Solve for x
    x = 13,024,287,376/55,428
  6. Step 6: Final answer
    x = 234,976.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.