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Finding the Third Proportional to 95,492 and 210,046

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Solution

The third proportional to 95,492 and 210,046 is: 462,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,492 : 210,046 = 210,046 : x
  2. Step 2: Convert to fraction form
    95,492/210,046 = 210,046/x
  3. Step 3: Cross multiply
    95,492x = 210,046 × 210,046
  4. Step 4: Simplify right side
    95,492x = 44,119,322,116
  5. Step 5: Solve for x
    x = 44,119,322,116/95,492
  6. Step 6: Final answer
    x = 462,021.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.