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Finding the Third Proportional to 96,382 and 148,326

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Solution

The third proportional to 96,382 and 148,326 is: 228,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,382 : 148,326 = 148,326 : x
  2. Step 2: Convert to fraction form
    96,382/148,326 = 148,326/x
  3. Step 3: Cross multiply
    96,382x = 148,326 × 148,326
  4. Step 4: Simplify right side
    96,382x = 22,000,602,276
  5. Step 5: Solve for x
    x = 22,000,602,276/96,382
  6. Step 6: Final answer
    x = 228,264.64

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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.