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Finding the Third Proportional to 70,426 and 96,853

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Solution

The third proportional to 70,426 and 96,853 is: 133,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,426 : 96,853 = 96,853 : x
  2. Step 2: Convert to fraction form
    70,426/96,853 = 96,853/x
  3. Step 3: Cross multiply
    70,426x = 96,853 × 96,853
  4. Step 4: Simplify right side
    70,426x = 9,380,503,609
  5. Step 5: Solve for x
    x = 9,380,503,609/70,426
  6. Step 6: Final answer
    x = 133,196.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.