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Finding the Third Proportional to 74,100 and 97,326

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Solution

The third proportional to 74,100 and 97,326 is: 127,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,100 : 97,326 = 97,326 : x
  2. Step 2: Convert to fraction form
    74,100/97,326 = 97,326/x
  3. Step 3: Cross multiply
    74,100x = 97,326 × 97,326
  4. Step 4: Simplify right side
    74,100x = 9,472,350,276
  5. Step 5: Solve for x
    x = 9,472,350,276/74,100
  6. Step 6: Final answer
    x = 127,831.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.