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Finding the Third Proportional to 44,140 and 104,106

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Solution

The third proportional to 44,140 and 104,106 is: 245,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,140 : 104,106 = 104,106 : x
  2. Step 2: Convert to fraction form
    44,140/104,106 = 104,106/x
  3. Step 3: Cross multiply
    44,140x = 104,106 × 104,106
  4. Step 4: Simplify right side
    44,140x = 10,838,059,236
  5. Step 5: Solve for x
    x = 10,838,059,236/44,140
  6. Step 6: Final answer
    x = 245,538.27

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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.