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Finding the Third Proportional to 75,392 and 163,200

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Solution

The third proportional to 75,392 and 163,200 is: 353,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,392 : 163,200 = 163,200 : x
  2. Step 2: Convert to fraction form
    75,392/163,200 = 163,200/x
  3. Step 3: Cross multiply
    75,392x = 163,200 × 163,200
  4. Step 4: Simplify right side
    75,392x = 26,634,240,000
  5. Step 5: Solve for x
    x = 26,634,240,000/75,392
  6. Step 6: Final answer
    x = 353,276.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.