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Finding the Third Proportional to 127,875.75 and 186,190.50

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Solution

The third proportional to 127,875.75 and 186,190.50 is: 271,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,875.75 : 186,190.50 = 186,190.50 : x
  2. Step 2: Convert to fraction form
    127,875.75/186,190.50 = 186,190.50/x
  3. Step 3: Cross multiply
    127,875.75x = 186,190.50 × 186,190.50
  4. Step 4: Simplify right side
    127,875.75x = 34,666,902,290.25
  5. Step 5: Solve for x
    x = 34,666,902,290.25/127,875.75
  6. Step 6: Final answer
    x = 271,098.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.