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Finding the Third Proportional to 74,022 and 97,185

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Solution

The third proportional to 74,022 and 97,185 is: 127,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,022 : 97,185 = 97,185 : x
  2. Step 2: Convert to fraction form
    74,022/97,185 = 97,185/x
  3. Step 3: Cross multiply
    74,022x = 97,185 × 97,185
  4. Step 4: Simplify right side
    74,022x = 9,444,924,225
  5. Step 5: Solve for x
    x = 9,444,924,225/74,022
  6. Step 6: Final answer
    x = 127,596.18

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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.