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Finding the Third Proportional to 66,070.50 and 94,185

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Solution

The third proportional to 66,070.50 and 94,185 is: 134,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,070.50 : 94,185 = 94,185 : x
  2. Step 2: Convert to fraction form
    66,070.50/94,185 = 94,185/x
  3. Step 3: Cross multiply
    66,070.50x = 94,185 × 94,185
  4. Step 4: Simplify right side
    66,070.50x = 8,870,814,225
  5. Step 5: Solve for x
    x = 8,870,814,225/66,070.50
  6. Step 6: Final answer
    x = 134,262.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.