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Finding the Third Proportional to 70,034.50 and 105,122

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Solution

The third proportional to 70,034.50 and 105,122 is: 157,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034.50 : 105,122 = 105,122 : x
  2. Step 2: Convert to fraction form
    70,034.50/105,122 = 105,122/x
  3. Step 3: Cross multiply
    70,034.50x = 105,122 × 105,122
  4. Step 4: Simplify right side
    70,034.50x = 11,050,634,884
  5. Step 5: Solve for x
    x = 11,050,634,884/70,034.50
  6. Step 6: Final answer
    x = 157,788.45

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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.