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Finding the Third Proportional to 58,494 and 88,485

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Solution

The third proportional to 58,494 and 88,485 is: 133,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,494 : 88,485 = 88,485 : x
  2. Step 2: Convert to fraction form
    58,494/88,485 = 88,485/x
  3. Step 3: Cross multiply
    58,494x = 88,485 × 88,485
  4. Step 4: Simplify right side
    58,494x = 7,829,595,225
  5. Step 5: Solve for x
    x = 7,829,595,225/58,494
  6. Step 6: Final answer
    x = 133,852.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.