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Finding the Third Proportional to 48,432 and 105,630

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Solution

The third proportional to 48,432 and 105,630 is: 230,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 105,630 = 105,630 : x
  2. Step 2: Convert to fraction form
    48,432/105,630 = 105,630/x
  3. Step 3: Cross multiply
    48,432x = 105,630 × 105,630
  4. Step 4: Simplify right side
    48,432x = 11,157,696,900
  5. Step 5: Solve for x
    x = 11,157,696,900/48,432
  6. Step 6: Final answer
    x = 230,378.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.