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Finding the Third Proportional to 74,460 and 104,157

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Solution

The third proportional to 74,460 and 104,157 is: 145,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 104,157 = 104,157 : x
  2. Step 2: Convert to fraction form
    74,460/104,157 = 104,157/x
  3. Step 3: Cross multiply
    74,460x = 104,157 × 104,157
  4. Step 4: Simplify right side
    74,460x = 10,848,680,649
  5. Step 5: Solve for x
    x = 10,848,680,649/74,460
  6. Step 6: Final answer
    x = 145,698.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.