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Finding the Third Proportional to 55,426 and 118,726

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Solution

The third proportional to 55,426 and 118,726 is: 254,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,426 : 118,726 = 118,726 : x
  2. Step 2: Convert to fraction form
    55,426/118,726 = 118,726/x
  3. Step 3: Cross multiply
    55,426x = 118,726 × 118,726
  4. Step 4: Simplify right side
    55,426x = 14,095,863,076
  5. Step 5: Solve for x
    x = 14,095,863,076/55,426
  6. Step 6: Final answer
    x = 254,318.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.