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Finding the Third Proportional to 84,762 and 124,515

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Solution

The third proportional to 84,762 and 124,515 is: 182,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762 : 124,515 = 124,515 : x
  2. Step 2: Convert to fraction form
    84,762/124,515 = 124,515/x
  3. Step 3: Cross multiply
    84,762x = 124,515 × 124,515
  4. Step 4: Simplify right side
    84,762x = 15,503,985,225
  5. Step 5: Solve for x
    x = 15,503,985,225/84,762
  6. Step 6: Final answer
    x = 182,911.98

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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.