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Finding the Third Proportional to 127,226 and 187,038

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Solution

The third proportional to 127,226 and 187,038 is: 274,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,226 : 187,038 = 187,038 : x
  2. Step 2: Convert to fraction form
    127,226/187,038 = 187,038/x
  3. Step 3: Cross multiply
    127,226x = 187,038 × 187,038
  4. Step 4: Simplify right side
    127,226x = 34,983,213,444
  5. Step 5: Solve for x
    x = 34,983,213,444/127,226
  6. Step 6: Final answer
    x = 274,969.06

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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.