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Finding the Third Proportional to 70,432.03 and 105,627.80

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Solution

The third proportional to 70,432.03 and 105,627.80 is: 158,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432.03 : 105,627.80 = 105,627.80 : x
  2. Step 2: Convert to fraction form
    70,432.03/105,627.80 = 105,627.80/x
  3. Step 3: Cross multiply
    70,432.03x = 105,627.80 × 105,627.80
  4. Step 4: Simplify right side
    70,432.03x = 11,157,231,472.67
  5. Step 5: Solve for x
    x = 11,157,231,472.67/70,432.03
  6. Step 6: Final answer
    x = 158,411.33

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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.