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Finding the Third Proportional to 127,581 and 182,623

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Solution

The third proportional to 127,581 and 182,623 is: 261,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,581 : 182,623 = 182,623 : x
  2. Step 2: Convert to fraction form
    127,581/182,623 = 182,623/x
  3. Step 3: Cross multiply
    127,581x = 182,623 × 182,623
  4. Step 4: Simplify right side
    127,581x = 33,351,160,129
  5. Step 5: Solve for x
    x = 33,351,160,129/127,581
  6. Step 6: Final answer
    x = 261,411.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.