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Finding the Third Proportional to 58,713 and 84,135

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Solution

The third proportional to 58,713 and 84,135 is: 120,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,713 : 84,135 = 84,135 : x
  2. Step 2: Convert to fraction form
    58,713/84,135 = 84,135/x
  3. Step 3: Cross multiply
    58,713x = 84,135 × 84,135
  4. Step 4: Simplify right side
    58,713x = 7,078,698,225
  5. Step 5: Solve for x
    x = 7,078,698,225/58,713
  6. Step 6: Final answer
    x = 120,564.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.