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Finding the Third Proportional to 70,018 and 104,783

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Solution

The third proportional to 70,018 and 104,783 is: 156,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,018 : 104,783 = 104,783 : x
  2. Step 2: Convert to fraction form
    70,018/104,783 = 104,783/x
  3. Step 3: Cross multiply
    70,018x = 104,783 × 104,783
  4. Step 4: Simplify right side
    70,018x = 10,979,477,089
  5. Step 5: Solve for x
    x = 10,979,477,089/70,018
  6. Step 6: Final answer
    x = 156,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.