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Finding the Third Proportional to 132,537 and 276,251

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Solution

The third proportional to 132,537 and 276,251 is: 575,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,537 : 276,251 = 276,251 : x
  2. Step 2: Convert to fraction form
    132,537/276,251 = 276,251/x
  3. Step 3: Cross multiply
    132,537x = 276,251 × 276,251
  4. Step 4: Simplify right side
    132,537x = 76,314,615,001
  5. Step 5: Solve for x
    x = 76,314,615,001/132,537
  6. Step 6: Final answer
    x = 575,798.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.