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Finding the Third Proportional to 96,457.88 and 137,592.75

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Solution

The third proportional to 96,457.88 and 137,592.75 is: 196,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,457.88 : 137,592.75 = 137,592.75 : x
  2. Step 2: Convert to fraction form
    96,457.88/137,592.75 = 137,592.75/x
  3. Step 3: Cross multiply
    96,457.88x = 137,592.75 × 137,592.75
  4. Step 4: Simplify right side
    96,457.88x = 18,931,764,852.56
  5. Step 5: Solve for x
    x = 18,931,764,852.56/96,457.88
  6. Step 6: Final answer
    x = 196,269.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.