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Finding the Third Proportional to 93,208 and 148,236

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Solution

The third proportional to 93,208 and 148,236 is: 235,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,208 : 148,236 = 148,236 : x
  2. Step 2: Convert to fraction form
    93,208/148,236 = 148,236/x
  3. Step 3: Cross multiply
    93,208x = 148,236 × 148,236
  4. Step 4: Simplify right side
    93,208x = 21,973,911,696
  5. Step 5: Solve for x
    x = 21,973,911,696/93,208
  6. Step 6: Final answer
    x = 235,751.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.