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Finding the Third Proportional to 93,875 and 145,269

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Solution

The third proportional to 93,875 and 145,269 is: 224,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,875 : 145,269 = 145,269 : x
  2. Step 2: Convert to fraction form
    93,875/145,269 = 145,269/x
  3. Step 3: Cross multiply
    93,875x = 145,269 × 145,269
  4. Step 4: Simplify right side
    93,875x = 21,103,082,361
  5. Step 5: Solve for x
    x = 21,103,082,361/93,875
  6. Step 6: Final answer
    x = 224,799.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.