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Finding the Third Proportional to 66,088 and 100,684

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Solution

The third proportional to 66,088 and 100,684 is: 153,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,088 : 100,684 = 100,684 : x
  2. Step 2: Convert to fraction form
    66,088/100,684 = 100,684/x
  3. Step 3: Cross multiply
    66,088x = 100,684 × 100,684
  4. Step 4: Simplify right side
    66,088x = 10,137,267,856
  5. Step 5: Solve for x
    x = 10,137,267,856/66,088
  6. Step 6: Final answer
    x = 153,390.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.