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Finding the Third Proportional to 97,070 and 207,634

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Solution

The third proportional to 97,070 and 207,634 is: 444,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070 : 207,634 = 207,634 : x
  2. Step 2: Convert to fraction form
    97,070/207,634 = 207,634/x
  3. Step 3: Cross multiply
    97,070x = 207,634 × 207,634
  4. Step 4: Simplify right side
    97,070x = 43,111,877,956
  5. Step 5: Solve for x
    x = 43,111,877,956/97,070
  6. Step 6: Final answer
    x = 444,131.84

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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.