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Finding the Third Proportional to 42,318 and 100,258

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Solution

The third proportional to 42,318 and 100,258 is: 237,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,318 : 100,258 = 100,258 : x
  2. Step 2: Convert to fraction form
    42,318/100,258 = 100,258/x
  3. Step 3: Cross multiply
    42,318x = 100,258 × 100,258
  4. Step 4: Simplify right side
    42,318x = 10,051,666,564
  5. Step 5: Solve for x
    x = 10,051,666,564/42,318
  6. Step 6: Final answer
    x = 237,526.98

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.