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Finding the Third Proportional to 134,954 and 201,688

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Solution

The third proportional to 134,954 and 201,688 is: 301,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,954 : 201,688 = 201,688 : x
  2. Step 2: Convert to fraction form
    134,954/201,688 = 201,688/x
  3. Step 3: Cross multiply
    134,954x = 201,688 × 201,688
  4. Step 4: Simplify right side
    134,954x = 40,678,049,344
  5. Step 5: Solve for x
    x = 40,678,049,344/134,954
  6. Step 6: Final answer
    x = 301,421.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.