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Finding the Third Proportional to 102,683 and 137,352

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Solution

The third proportional to 102,683 and 137,352 is: 183,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,683 : 137,352 = 137,352 : x
  2. Step 2: Convert to fraction form
    102,683/137,352 = 137,352/x
  3. Step 3: Cross multiply
    102,683x = 137,352 × 137,352
  4. Step 4: Simplify right side
    102,683x = 18,865,571,904
  5. Step 5: Solve for x
    x = 18,865,571,904/102,683
  6. Step 6: Final answer
    x = 183,726.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.