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Finding the Third Proportional to 132,026 and 285,097

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Solution

The third proportional to 132,026 and 285,097 is: 615,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,026 : 285,097 = 285,097 : x
  2. Step 2: Convert to fraction form
    132,026/285,097 = 285,097/x
  3. Step 3: Cross multiply
    132,026x = 285,097 × 285,097
  4. Step 4: Simplify right side
    132,026x = 81,280,299,409
  5. Step 5: Solve for x
    x = 81,280,299,409/132,026
  6. Step 6: Final answer
    x = 615,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.