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Finding the Third Proportional to 66,735 and 103,929.75

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Solution

The third proportional to 66,735 and 103,929.75 is: 161,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,735 : 103,929.75 = 103,929.75 : x
  2. Step 2: Convert to fraction form
    66,735/103,929.75 = 103,929.75/x
  3. Step 3: Cross multiply
    66,735x = 103,929.75 × 103,929.75
  4. Step 4: Simplify right side
    66,735x = 10,801,392,935.06
  5. Step 5: Solve for x
    x = 10,801,392,935.06/66,735
  6. Step 6: Final answer
    x = 161,854.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.