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Finding the Third Proportional to 70,656 and 102,174

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Solution

The third proportional to 70,656 and 102,174 is: 147,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,656 : 102,174 = 102,174 : x
  2. Step 2: Convert to fraction form
    70,656/102,174 = 102,174/x
  3. Step 3: Cross multiply
    70,656x = 102,174 × 102,174
  4. Step 4: Simplify right side
    70,656x = 10,439,526,276
  5. Step 5: Solve for x
    x = 10,439,526,276/70,656
  6. Step 6: Final answer
    x = 147,751.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.