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Finding the Third Proportional to 134,724 and 201,254

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Solution

The third proportional to 134,724 and 201,254 is: 300,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,724 : 201,254 = 201,254 : x
  2. Step 2: Convert to fraction form
    134,724/201,254 = 201,254/x
  3. Step 3: Cross multiply
    134,724x = 201,254 × 201,254
  4. Step 4: Simplify right side
    134,724x = 40,503,172,516
  5. Step 5: Solve for x
    x = 40,503,172,516/134,724
  6. Step 6: Final answer
    x = 300,638.14

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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.