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Finding the Third Proportional to 65,751.50 and 93,037

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Solution

The third proportional to 65,751.50 and 93,037 is: 131,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.50 : 93,037 = 93,037 : x
  2. Step 2: Convert to fraction form
    65,751.50/93,037 = 93,037/x
  3. Step 3: Cross multiply
    65,751.50x = 93,037 × 93,037
  4. Step 4: Simplify right side
    65,751.50x = 8,655,883,369
  5. Step 5: Solve for x
    x = 8,655,883,369/65,751.50
  6. Step 6: Final answer
    x = 131,645.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.