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Finding the Third Proportional to 119,688.75 and 259,326

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Solution

The third proportional to 119,688.75 and 259,326 is: 561,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,688.75 : 259,326 = 259,326 : x
  2. Step 2: Convert to fraction form
    119,688.75/259,326 = 259,326/x
  3. Step 3: Cross multiply
    119,688.75x = 259,326 × 259,326
  4. Step 4: Simplify right side
    119,688.75x = 67,249,974,276
  5. Step 5: Solve for x
    x = 67,249,974,276/119,688.75
  6. Step 6: Final answer
    x = 561,873.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.