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Finding the Third Proportional to 65,768 and 100,356

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Solution

The third proportional to 65,768 and 100,356 is: 153,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768 : 100,356 = 100,356 : x
  2. Step 2: Convert to fraction form
    65,768/100,356 = 100,356/x
  3. Step 3: Cross multiply
    65,768x = 100,356 × 100,356
  4. Step 4: Simplify right side
    65,768x = 10,071,326,736
  5. Step 5: Solve for x
    x = 10,071,326,736/65,768
  6. Step 6: Final answer
    x = 153,134.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.