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Finding the Third Proportional to 95,312 and 203,712

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Solution

The third proportional to 95,312 and 203,712 is: 435,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,312 : 203,712 = 203,712 : x
  2. Step 2: Convert to fraction form
    95,312/203,712 = 203,712/x
  3. Step 3: Cross multiply
    95,312x = 203,712 × 203,712
  4. Step 4: Simplify right side
    95,312x = 41,498,578,944
  5. Step 5: Solve for x
    x = 41,498,578,944/95,312
  6. Step 6: Final answer
    x = 435,397.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.