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Finding the Third Proportional to 105,560 and 141,000

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Solution

The third proportional to 105,560 and 141,000 is: 188,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,560 : 141,000 = 141,000 : x
  2. Step 2: Convert to fraction form
    105,560/141,000 = 141,000/x
  3. Step 3: Cross multiply
    105,560x = 141,000 × 141,000
  4. Step 4: Simplify right side
    105,560x = 19,881,000,000
  5. Step 5: Solve for x
    x = 19,881,000,000/105,560
  6. Step 6: Final answer
    x = 188,338.39

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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.