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Finding the Third Proportional to 102,388 and 155,014

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Solution

The third proportional to 102,388 and 155,014 is: 234,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388 : 155,014 = 155,014 : x
  2. Step 2: Convert to fraction form
    102,388/155,014 = 155,014/x
  3. Step 3: Cross multiply
    102,388x = 155,014 × 155,014
  4. Step 4: Simplify right side
    102,388x = 24,029,340,196
  5. Step 5: Solve for x
    x = 24,029,340,196/102,388
  6. Step 6: Final answer
    x = 234,689.03

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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.