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Finding the Third Proportional to 127,090 and 275,102

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Solution

The third proportional to 127,090 and 275,102 is: 595,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,090 : 275,102 = 275,102 : x
  2. Step 2: Convert to fraction form
    127,090/275,102 = 275,102/x
  3. Step 3: Cross multiply
    127,090x = 275,102 × 275,102
  4. Step 4: Simplify right side
    127,090x = 75,681,110,404
  5. Step 5: Solve for x
    x = 75,681,110,404/127,090
  6. Step 6: Final answer
    x = 595,492.25

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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.