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Finding the Third Proportional to 127,202 and 186,914

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Solution

The third proportional to 127,202 and 186,914 is: 274,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,202 : 186,914 = 186,914 : x
  2. Step 2: Convert to fraction form
    127,202/186,914 = 186,914/x
  3. Step 3: Cross multiply
    127,202x = 186,914 × 186,914
  4. Step 4: Simplify right side
    127,202x = 34,936,843,396
  5. Step 5: Solve for x
    x = 34,936,843,396/127,202
  6. Step 6: Final answer
    x = 274,656.40

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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.