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Finding the Third Proportional to 127,522 and 187,187

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Solution

The third proportional to 127,522 and 187,187 is: 274,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,522 : 187,187 = 187,187 : x
  2. Step 2: Convert to fraction form
    127,522/187,187 = 187,187/x
  3. Step 3: Cross multiply
    127,522x = 187,187 × 187,187
  4. Step 4: Simplify right side
    127,522x = 35,038,972,969
  5. Step 5: Solve for x
    x = 35,038,972,969/127,522
  6. Step 6: Final answer
    x = 274,768.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.