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Finding the Third Proportional to 93,948.75 and 165,578.63

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Solution

The third proportional to 93,948.75 and 165,578.63 is: 291,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,948.75 : 165,578.63 = 165,578.63 : x
  2. Step 2: Convert to fraction form
    93,948.75/165,578.63 = 165,578.63/x
  3. Step 3: Cross multiply
    93,948.75x = 165,578.63 × 165,578.63
  4. Step 4: Simplify right side
    93,948.75x = 27,416,281,056.89
  5. Step 5: Solve for x
    x = 27,416,281,056.89/93,948.75
  6. Step 6: Final answer
    x = 291,821.67

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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.