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Finding the Third Proportional to 65,378.25 and 97,979.63

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Solution

The third proportional to 65,378.25 and 97,979.63 is: 146,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.25 : 97,979.63 = 97,979.63 : x
  2. Step 2: Convert to fraction form
    65,378.25/97,979.63 = 97,979.63/x
  3. Step 3: Cross multiply
    65,378.25x = 97,979.63 × 97,979.63
  4. Step 4: Simplify right side
    65,378.25x = 9,600,006,915.14
  5. Step 5: Solve for x
    x = 9,600,006,915.14/65,378.25
  6. Step 6: Final answer
    x = 146,837.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.