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Finding the Third Proportional to 74,886 and 163,495

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Solution

The third proportional to 74,886 and 163,495 is: 356,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,886 : 163,495 = 163,495 : x
  2. Step 2: Convert to fraction form
    74,886/163,495 = 163,495/x
  3. Step 3: Cross multiply
    74,886x = 163,495 × 163,495
  4. Step 4: Simplify right side
    74,886x = 26,730,615,025
  5. Step 5: Solve for x
    x = 26,730,615,025/74,886
  6. Step 6: Final answer
    x = 356,950.77

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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.