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Finding the Third Proportional to 70,085.25 and 110,149.88

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Solution

The third proportional to 70,085.25 and 110,149.88 is: 173,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085.25 : 110,149.88 = 110,149.88 : x
  2. Step 2: Convert to fraction form
    70,085.25/110,149.88 = 110,149.88/x
  3. Step 3: Cross multiply
    70,085.25x = 110,149.88 × 110,149.88
  4. Step 4: Simplify right side
    70,085.25x = 12,132,994,962.52
  5. Step 5: Solve for x
    x = 12,132,994,962.52/70,085.25
  6. Step 6: Final answer
    x = 173,117.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.