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Finding the Third Proportional to 94,319 and 147,221

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Solution

The third proportional to 94,319 and 147,221 is: 229,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,319 : 147,221 = 147,221 : x
  2. Step 2: Convert to fraction form
    94,319/147,221 = 147,221/x
  3. Step 3: Cross multiply
    94,319x = 147,221 × 147,221
  4. Step 4: Simplify right side
    94,319x = 21,674,022,841
  5. Step 5: Solve for x
    x = 21,674,022,841/94,319
  6. Step 6: Final answer
    x = 229,794.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.