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Finding the Third Proportional to 65,768 and 98,264

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Solution

The third proportional to 65,768 and 98,264 is: 146,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768 : 98,264 = 98,264 : x
  2. Step 2: Convert to fraction form
    65,768/98,264 = 98,264/x
  3. Step 3: Cross multiply
    65,768x = 98,264 × 98,264
  4. Step 4: Simplify right side
    65,768x = 9,655,813,696
  5. Step 5: Solve for x
    x = 9,655,813,696/65,768
  6. Step 6: Final answer
    x = 146,816.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.