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Finding the Third Proportional to 93,506 and 140,223

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Solution

The third proportional to 93,506 and 140,223 is: 210,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,506 : 140,223 = 140,223 : x
  2. Step 2: Convert to fraction form
    93,506/140,223 = 140,223/x
  3. Step 3: Cross multiply
    93,506x = 140,223 × 140,223
  4. Step 4: Simplify right side
    93,506x = 19,662,489,729
  5. Step 5: Solve for x
    x = 19,662,489,729/93,506
  6. Step 6: Final answer
    x = 210,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.