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Finding the Third Proportional to 122,154 and 174,354

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Solution

The third proportional to 122,154 and 174,354 is: 248,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,154 : 174,354 = 174,354 : x
  2. Step 2: Convert to fraction form
    122,154/174,354 = 174,354/x
  3. Step 3: Cross multiply
    122,154x = 174,354 × 174,354
  4. Step 4: Simplify right side
    122,154x = 30,399,317,316
  5. Step 5: Solve for x
    x = 30,399,317,316/122,154
  6. Step 6: Final answer
    x = 248,860.60

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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.