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Finding the Third Proportional to 58,034.50 and 92,236

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Solution

The third proportional to 58,034.50 and 92,236 is: 146,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,034.50 : 92,236 = 92,236 : x
  2. Step 2: Convert to fraction form
    58,034.50/92,236 = 92,236/x
  3. Step 3: Cross multiply
    58,034.50x = 92,236 × 92,236
  4. Step 4: Simplify right side
    58,034.50x = 8,507,479,696
  5. Step 5: Solve for x
    x = 8,507,479,696/58,034.50
  6. Step 6: Final answer
    x = 146,593.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.