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Finding the Third Proportional to 70,014 and 106,315.50

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Solution

The third proportional to 70,014 and 106,315.50 is: 161,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,014 : 106,315.50 = 106,315.50 : x
  2. Step 2: Convert to fraction form
    70,014/106,315.50 = 106,315.50/x
  3. Step 3: Cross multiply
    70,014x = 106,315.50 × 106,315.50
  4. Step 4: Simplify right side
    70,014x = 11,302,985,540.25
  5. Step 5: Solve for x
    x = 11,302,985,540.25/70,014
  6. Step 6: Final answer
    x = 161,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.