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Finding the Third Proportional to 59,316 and 121,000

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Solution

The third proportional to 59,316 and 121,000 is: 246,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,316 : 121,000 = 121,000 : x
  2. Step 2: Convert to fraction form
    59,316/121,000 = 121,000/x
  3. Step 3: Cross multiply
    59,316x = 121,000 × 121,000
  4. Step 4: Simplify right side
    59,316x = 14,641,000,000
  5. Step 5: Solve for x
    x = 14,641,000,000/59,316
  6. Step 6: Final answer
    x = 246,830.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.