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Finding the Third Proportional to 61,554 and 94,185

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Solution

The third proportional to 61,554 and 94,185 is: 144,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,554 : 94,185 = 94,185 : x
  2. Step 2: Convert to fraction form
    61,554/94,185 = 94,185/x
  3. Step 3: Cross multiply
    61,554x = 94,185 × 94,185
  4. Step 4: Simplify right side
    61,554x = 8,870,814,225
  5. Step 5: Solve for x
    x = 8,870,814,225/61,554
  6. Step 6: Final answer
    x = 144,114.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.