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Finding the Third Proportional to 127,823.63 and 275,269.13

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Solution

The third proportional to 127,823.63 and 275,269.13 is: 592,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,823.63 : 275,269.13 = 275,269.13 : x
  2. Step 2: Convert to fraction form
    127,823.63/275,269.13 = 275,269.13/x
  3. Step 3: Cross multiply
    127,823.63x = 275,269.13 × 275,269.13
  4. Step 4: Simplify right side
    127,823.63x = 75,773,091,178.27
  5. Step 5: Solve for x
    x = 75,773,091,178.27/127,823.63
  6. Step 6: Final answer
    x = 592,794.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.