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Finding the Third Proportional to 102,929 and 155,498

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Solution

The third proportional to 102,929 and 155,498 is: 234,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,929 : 155,498 = 155,498 : x
  2. Step 2: Convert to fraction form
    102,929/155,498 = 155,498/x
  3. Step 3: Cross multiply
    102,929x = 155,498 × 155,498
  4. Step 4: Simplify right side
    102,929x = 24,179,628,004
  5. Step 5: Solve for x
    x = 24,179,628,004/102,929
  6. Step 6: Final answer
    x = 234,915.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.