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Finding the Third Proportional to 69,558 and 93,185

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Solution

The third proportional to 69,558 and 93,185 is: 124,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,558 : 93,185 = 93,185 : x
  2. Step 2: Convert to fraction form
    69,558/93,185 = 93,185/x
  3. Step 3: Cross multiply
    69,558x = 93,185 × 93,185
  4. Step 4: Simplify right side
    69,558x = 8,683,444,225
  5. Step 5: Solve for x
    x = 8,683,444,225/69,558
  6. Step 6: Final answer
    x = 124,837.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.