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Finding the Third Proportional to 44,094 and 104,070

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Solution

The third proportional to 44,094 and 104,070 is: 245,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,094 : 104,070 = 104,070 : x
  2. Step 2: Convert to fraction form
    44,094/104,070 = 104,070/x
  3. Step 3: Cross multiply
    44,094x = 104,070 × 104,070
  4. Step 4: Simplify right side
    44,094x = 10,830,564,900
  5. Step 5: Solve for x
    x = 10,830,564,900/44,094
  6. Step 6: Final answer
    x = 245,624.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.