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Finding the Third Proportional to 70,444.50 and 109,246.50

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Solution

The third proportional to 70,444.50 and 109,246.50 is: 169,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,444.50 : 109,246.50 = 109,246.50 : x
  2. Step 2: Convert to fraction form
    70,444.50/109,246.50 = 109,246.50/x
  3. Step 3: Cross multiply
    70,444.50x = 109,246.50 × 109,246.50
  4. Step 4: Simplify right side
    70,444.50x = 11,934,797,762.25
  5. Step 5: Solve for x
    x = 11,934,797,762.25/70,444.50
  6. Step 6: Final answer
    x = 169,421.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.