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Finding the Third Proportional to 45,457 and 97,231

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Solution

The third proportional to 45,457 and 97,231 is: 207,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,457 : 97,231 = 97,231 : x
  2. Step 2: Convert to fraction form
    45,457/97,231 = 97,231/x
  3. Step 3: Cross multiply
    45,457x = 97,231 × 97,231
  4. Step 4: Simplify right side
    45,457x = 9,453,867,361
  5. Step 5: Solve for x
    x = 9,453,867,361/45,457
  6. Step 6: Final answer
    x = 207,973.85

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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.