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Finding the Third Proportional to 56,582 and 83,205

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Solution

The third proportional to 56,582 and 83,205 is: 122,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,582 : 83,205 = 83,205 : x
  2. Step 2: Convert to fraction form
    56,582/83,205 = 83,205/x
  3. Step 3: Cross multiply
    56,582x = 83,205 × 83,205
  4. Step 4: Simplify right side
    56,582x = 6,923,072,025
  5. Step 5: Solve for x
    x = 6,923,072,025/56,582
  6. Step 6: Final answer
    x = 122,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.