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Finding the Third Proportional to 76,595.50 and 162,023

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Solution

The third proportional to 76,595.50 and 162,023 is: 342,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595.50 : 162,023 = 162,023 : x
  2. Step 2: Convert to fraction form
    76,595.50/162,023 = 162,023/x
  3. Step 3: Cross multiply
    76,595.50x = 162,023 × 162,023
  4. Step 4: Simplify right side
    76,595.50x = 26,251,452,529
  5. Step 5: Solve for x
    x = 26,251,452,529/76,595.50
  6. Step 6: Final answer
    x = 342,728.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.