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Finding the Third Proportional to 95,258 and 213,070

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Solution

The third proportional to 95,258 and 213,070 is: 476,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 213,070 = 213,070 : x
  2. Step 2: Convert to fraction form
    95,258/213,070 = 213,070/x
  3. Step 3: Cross multiply
    95,258x = 213,070 × 213,070
  4. Step 4: Simplify right side
    95,258x = 45,398,824,900
  5. Step 5: Solve for x
    x = 45,398,824,900/95,258
  6. Step 6: Final answer
    x = 476,588.05

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.