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Finding the Third Proportional to 96,128 and 208,472

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Solution

The third proportional to 96,128 and 208,472 is: 452,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,128 : 208,472 = 208,472 : x
  2. Step 2: Convert to fraction form
    96,128/208,472 = 208,472/x
  3. Step 3: Cross multiply
    96,128x = 208,472 × 208,472
  4. Step 4: Simplify right side
    96,128x = 43,460,574,784
  5. Step 5: Solve for x
    x = 43,460,574,784/96,128
  6. Step 6: Final answer
    x = 452,111.51

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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.