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Finding the Third Proportional to 45,312 and 105,350

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Solution

The third proportional to 45,312 and 105,350 is: 244,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 105,350 = 105,350 : x
  2. Step 2: Convert to fraction form
    45,312/105,350 = 105,350/x
  3. Step 3: Cross multiply
    45,312x = 105,350 × 105,350
  4. Step 4: Simplify right side
    45,312x = 11,098,622,500
  5. Step 5: Solve for x
    x = 11,098,622,500/45,312
  6. Step 6: Final answer
    x = 244,937.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.