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Finding the Third Proportional to 108,316 and 144,894

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Solution

The third proportional to 108,316 and 144,894 is: 193,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,316 : 144,894 = 144,894 : x
  2. Step 2: Convert to fraction form
    108,316/144,894 = 144,894/x
  3. Step 3: Cross multiply
    108,316x = 144,894 × 144,894
  4. Step 4: Simplify right side
    108,316x = 20,994,271,236
  5. Step 5: Solve for x
    x = 20,994,271,236/108,316
  6. Step 6: Final answer
    x = 193,824.28

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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.