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Finding the Third Proportional to 132,030 and 285,106

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Solution

The third proportional to 132,030 and 285,106 is: 615,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 285,106 = 285,106 : x
  2. Step 2: Convert to fraction form
    132,030/285,106 = 285,106/x
  3. Step 3: Cross multiply
    132,030x = 285,106 × 285,106
  4. Step 4: Simplify right side
    132,030x = 81,285,431,236
  5. Step 5: Solve for x
    x = 81,285,431,236/132,030
  6. Step 6: Final answer
    x = 615,658.80

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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.