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Finding the Third Proportional to 66,696 and 145,784

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Solution

The third proportional to 66,696 and 145,784 is: 318,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,696 : 145,784 = 145,784 : x
  2. Step 2: Convert to fraction form
    66,696/145,784 = 145,784/x
  3. Step 3: Cross multiply
    66,696x = 145,784 × 145,784
  4. Step 4: Simplify right side
    66,696x = 21,252,974,656
  5. Step 5: Solve for x
    x = 21,252,974,656/66,696
  6. Step 6: Final answer
    x = 318,654.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.