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Finding the Third Proportional to 77,641 and 114,000

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Solution

The third proportional to 77,641 and 114,000 is: 167,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641 : 114,000 = 114,000 : x
  2. Step 2: Convert to fraction form
    77,641/114,000 = 114,000/x
  3. Step 3: Cross multiply
    77,641x = 114,000 × 114,000
  4. Step 4: Simplify right side
    77,641x = 12,996,000,000
  5. Step 5: Solve for x
    x = 12,996,000,000/77,641
  6. Step 6: Final answer
    x = 167,385.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.