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Finding the Third Proportional to 127,209 and 186,924

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Solution

The third proportional to 127,209 and 186,924 is: 274,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,209 : 186,924 = 186,924 : x
  2. Step 2: Convert to fraction form
    127,209/186,924 = 186,924/x
  3. Step 3: Cross multiply
    127,209x = 186,924 × 186,924
  4. Step 4: Simplify right side
    127,209x = 34,940,581,776
  5. Step 5: Solve for x
    x = 34,940,581,776/127,209
  6. Step 6: Final answer
    x = 274,670.67

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Why These Related Problems?

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