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Finding the Third Proportional to 45,459 and 97,236

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Solution

The third proportional to 45,459 and 97,236 is: 207,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,459 : 97,236 = 97,236 : x
  2. Step 2: Convert to fraction form
    45,459/97,236 = 97,236/x
  3. Step 3: Cross multiply
    45,459x = 97,236 × 97,236
  4. Step 4: Simplify right side
    45,459x = 9,454,839,696
  5. Step 5: Solve for x
    x = 9,454,839,696/45,459
  6. Step 6: Final answer
    x = 207,986.09

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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.