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Finding the Third Proportional to 139,744.69 and 197,547.75

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Solution

The third proportional to 139,744.69 and 197,547.75 is: 279,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,744.69 : 197,547.75 = 197,547.75 : x
  2. Step 2: Convert to fraction form
    139,744.69/197,547.75 = 197,547.75/x
  3. Step 3: Cross multiply
    139,744.69x = 197,547.75 × 197,547.75
  4. Step 4: Simplify right side
    139,744.69x = 39,025,113,530.06
  5. Step 5: Solve for x
    x = 39,025,113,530.06/139,744.69
  6. Step 6: Final answer
    x = 279,260.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.