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Finding the Third Proportional to 58,538 and 141,485

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Solution

The third proportional to 58,538 and 141,485 is: 341,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,538 : 141,485 = 141,485 : x
  2. Step 2: Convert to fraction form
    58,538/141,485 = 141,485/x
  3. Step 3: Cross multiply
    58,538x = 141,485 × 141,485
  4. Step 4: Simplify right side
    58,538x = 20,018,005,225
  5. Step 5: Solve for x
    x = 20,018,005,225/58,538
  6. Step 6: Final answer
    x = 341,965.99

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.