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Finding the Third Proportional to 117,428 and 168,273

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Solution

The third proportional to 117,428 and 168,273 is: 241,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,428 : 168,273 = 168,273 : x
  2. Step 2: Convert to fraction form
    117,428/168,273 = 168,273/x
  3. Step 3: Cross multiply
    117,428x = 168,273 × 168,273
  4. Step 4: Simplify right side
    117,428x = 28,315,802,529
  5. Step 5: Solve for x
    x = 28,315,802,529/117,428
  6. Step 6: Final answer
    x = 241,133.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.