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Finding the Third Proportional to 96,326 and 148,240

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Solution

The third proportional to 96,326 and 148,240 is: 228,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,326 : 148,240 = 148,240 : x
  2. Step 2: Convert to fraction form
    96,326/148,240 = 148,240/x
  3. Step 3: Cross multiply
    96,326x = 148,240 × 148,240
  4. Step 4: Simplify right side
    96,326x = 21,975,097,600
  5. Step 5: Solve for x
    x = 21,975,097,600/96,326
  6. Step 6: Final answer
    x = 228,132.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.