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Finding the Third Proportional to 70,114 and 157,788

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Solution

The third proportional to 70,114 and 157,788 is: 355,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114 : 157,788 = 157,788 : x
  2. Step 2: Convert to fraction form
    70,114/157,788 = 157,788/x
  3. Step 3: Cross multiply
    70,114x = 157,788 × 157,788
  4. Step 4: Simplify right side
    70,114x = 24,897,052,944
  5. Step 5: Solve for x
    x = 24,897,052,944/70,114
  6. Step 6: Final answer
    x = 355,093.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.