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Finding the Third Proportional to 101,977.50 and 143,352

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Solution

The third proportional to 101,977.50 and 143,352 is: 201,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.50 : 143,352 = 143,352 : x
  2. Step 2: Convert to fraction form
    101,977.50/143,352 = 143,352/x
  3. Step 3: Cross multiply
    101,977.50x = 143,352 × 143,352
  4. Step 4: Simplify right side
    101,977.50x = 20,549,795,904
  5. Step 5: Solve for x
    x = 20,549,795,904/101,977.50
  6. Step 6: Final answer
    x = 201,513.04

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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.