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Finding the Third Proportional to 93,947 and 165,577

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Solution

The third proportional to 93,947 and 165,577 is: 291,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,947 : 165,577 = 165,577 : x
  2. Step 2: Convert to fraction form
    93,947/165,577 = 165,577/x
  3. Step 3: Cross multiply
    93,947x = 165,577 × 165,577
  4. Step 4: Simplify right side
    93,947x = 27,415,742,929
  5. Step 5: Solve for x
    x = 27,415,742,929/93,947
  6. Step 6: Final answer
    x = 291,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.