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Finding the Third Proportional to 70,902 and 109,771.88

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Solution

The third proportional to 70,902 and 109,771.88 is: 169,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902 : 109,771.88 = 109,771.88 : x
  2. Step 2: Convert to fraction form
    70,902/109,771.88 = 109,771.88/x
  3. Step 3: Cross multiply
    70,902x = 109,771.88 × 109,771.88
  4. Step 4: Simplify right side
    70,902x = 12,049,864,541.02
  5. Step 5: Solve for x
    x = 12,049,864,541.02/70,902
  6. Step 6: Final answer
    x = 169,950.98

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