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Finding the Third Proportional to 75,352 and 114,000

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Solution

The third proportional to 75,352 and 114,000 is: 172,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,352 : 114,000 = 114,000 : x
  2. Step 2: Convert to fraction form
    75,352/114,000 = 114,000/x
  3. Step 3: Cross multiply
    75,352x = 114,000 × 114,000
  4. Step 4: Simplify right side
    75,352x = 12,996,000,000
  5. Step 5: Solve for x
    x = 12,996,000,000/75,352
  6. Step 6: Final answer
    x = 172,470.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.