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Finding the Third Proportional to 74,836 and 163,748

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Solution

The third proportional to 74,836 and 163,748 is: 358,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,836 : 163,748 = 163,748 : x
  2. Step 2: Convert to fraction form
    74,836/163,748 = 163,748/x
  3. Step 3: Cross multiply
    74,836x = 163,748 × 163,748
  4. Step 4: Simplify right side
    74,836x = 26,813,407,504
  5. Step 5: Solve for x
    x = 26,813,407,504/74,836
  6. Step 6: Final answer
    x = 358,295.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.