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Finding the Third Proportional to 70,030 and 94,353

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Solution

The third proportional to 70,030 and 94,353 is: 127,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,030 : 94,353 = 94,353 : x
  2. Step 2: Convert to fraction form
    70,030/94,353 = 94,353/x
  3. Step 3: Cross multiply
    70,030x = 94,353 × 94,353
  4. Step 4: Simplify right side
    70,030x = 8,902,488,609
  5. Step 5: Solve for x
    x = 8,902,488,609/70,030
  6. Step 6: Final answer
    x = 127,123.93

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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.