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Finding the Third Proportional to 66,164 and 92,550

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Solution

The third proportional to 66,164 and 92,550 is: 129,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164 : 92,550 = 92,550 : x
  2. Step 2: Convert to fraction form
    66,164/92,550 = 92,550/x
  3. Step 3: Cross multiply
    66,164x = 92,550 × 92,550
  4. Step 4: Simplify right side
    66,164x = 8,565,502,500
  5. Step 5: Solve for x
    x = 8,565,502,500/66,164
  6. Step 6: Final answer
    x = 129,458.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.