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Finding the Third Proportional to 54,070 and 72,326

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Solution

The third proportional to 54,070 and 72,326 is: 96,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,070 : 72,326 = 72,326 : x
  2. Step 2: Convert to fraction form
    54,070/72,326 = 72,326/x
  3. Step 3: Cross multiply
    54,070x = 72,326 × 72,326
  4. Step 4: Simplify right side
    54,070x = 5,231,050,276
  5. Step 5: Solve for x
    x = 5,231,050,276/54,070
  6. Step 6: Final answer
    x = 96,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.