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Finding the Third Proportional to 65,864 and 97,653

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Solution

The third proportional to 65,864 and 97,653 is: 144,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864 : 97,653 = 97,653 : x
  2. Step 2: Convert to fraction form
    65,864/97,653 = 97,653/x
  3. Step 3: Cross multiply
    65,864x = 97,653 × 97,653
  4. Step 4: Simplify right side
    65,864x = 9,536,108,409
  5. Step 5: Solve for x
    x = 9,536,108,409/65,864
  6. Step 6: Final answer
    x = 144,784.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.