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Finding the Third Proportional to 74,510 and 159,673

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Solution

The third proportional to 74,510 and 159,673 is: 342,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,510 : 159,673 = 159,673 : x
  2. Step 2: Convert to fraction form
    74,510/159,673 = 159,673/x
  3. Step 3: Cross multiply
    74,510x = 159,673 × 159,673
  4. Step 4: Simplify right side
    74,510x = 25,495,466,929
  5. Step 5: Solve for x
    x = 25,495,466,929/74,510
  6. Step 6: Final answer
    x = 342,175.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.