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Finding the Third Proportional to 70,534 and 150,773

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Solution

The third proportional to 70,534 and 150,773 is: 322,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534 : 150,773 = 150,773 : x
  2. Step 2: Convert to fraction form
    70,534/150,773 = 150,773/x
  3. Step 3: Cross multiply
    70,534x = 150,773 × 150,773
  4. Step 4: Simplify right side
    70,534x = 22,732,497,529
  5. Step 5: Solve for x
    x = 22,732,497,529/70,534
  6. Step 6: Final answer
    x = 322,291.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.