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Finding the Third Proportional to 70,271 and 92,260.50

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Solution

The third proportional to 70,271 and 92,260.50 is: 121,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,271 : 92,260.50 = 92,260.50 : x
  2. Step 2: Convert to fraction form
    70,271/92,260.50 = 92,260.50/x
  3. Step 3: Cross multiply
    70,271x = 92,260.50 × 92,260.50
  4. Step 4: Simplify right side
    70,271x = 8,511,999,860.25
  5. Step 5: Solve for x
    x = 8,511,999,860.25/70,271
  6. Step 6: Final answer
    x = 121,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.