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Finding the Third Proportional to 65,356 and 100,970

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Solution

The third proportional to 65,356 and 100,970 is: 155,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356 : 100,970 = 100,970 : x
  2. Step 2: Convert to fraction form
    65,356/100,970 = 100,970/x
  3. Step 3: Cross multiply
    65,356x = 100,970 × 100,970
  4. Step 4: Simplify right side
    65,356x = 10,194,940,900
  5. Step 5: Solve for x
    x = 10,194,940,900/65,356
  6. Step 6: Final answer
    x = 155,990.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.