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Finding the Third Proportional to 66,969 and 103,809.38

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Solution

The third proportional to 66,969 and 103,809.38 is: 160,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 103,809.38 = 103,809.38 : x
  2. Step 2: Convert to fraction form
    66,969/103,809.38 = 103,809.38/x
  3. Step 3: Cross multiply
    66,969x = 103,809.38 × 103,809.38
  4. Step 4: Simplify right side
    66,969x = 10,776,386,337.89
  5. Step 5: Solve for x
    x = 10,776,386,337.89/66,969
  6. Step 6: Final answer
    x = 160,916.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.