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Finding the Third Proportional to 137,748 and 201,903

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Solution

The third proportional to 137,748 and 201,903 is: 295,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748 : 201,903 = 201,903 : x
  2. Step 2: Convert to fraction form
    137,748/201,903 = 201,903/x
  3. Step 3: Cross multiply
    137,748x = 201,903 × 201,903
  4. Step 4: Simplify right side
    137,748x = 40,764,821,409
  5. Step 5: Solve for x
    x = 40,764,821,409/137,748
  6. Step 6: Final answer
    x = 295,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.