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Finding the Third Proportional to 123,730 and 275,890

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Solution

The third proportional to 123,730 and 275,890 is: 615,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,730 : 275,890 = 275,890 : x
  2. Step 2: Convert to fraction form
    123,730/275,890 = 275,890/x
  3. Step 3: Cross multiply
    123,730x = 275,890 × 275,890
  4. Step 4: Simplify right side
    123,730x = 76,115,292,100
  5. Step 5: Solve for x
    x = 76,115,292,100/123,730
  6. Step 6: Final answer
    x = 615,172.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.