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Finding the Third Proportional to 70,030 and 94,351

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Solution

The third proportional to 70,030 and 94,351 is: 127,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,030 : 94,351 = 94,351 : x
  2. Step 2: Convert to fraction form
    70,030/94,351 = 94,351/x
  3. Step 3: Cross multiply
    70,030x = 94,351 × 94,351
  4. Step 4: Simplify right side
    70,030x = 8,902,111,201
  5. Step 5: Solve for x
    x = 8,902,111,201/70,030
  6. Step 6: Final answer
    x = 127,118.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.