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Finding the Third Proportional to 127,348.50 and 186,510.38

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Solution

The third proportional to 127,348.50 and 186,510.38 is: 273,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348.50 : 186,510.38 = 186,510.38 : x
  2. Step 2: Convert to fraction form
    127,348.50/186,510.38 = 186,510.38/x
  3. Step 3: Cross multiply
    127,348.50x = 186,510.38 × 186,510.38
  4. Step 4: Simplify right side
    127,348.50x = 34,786,119,982.64
  5. Step 5: Solve for x
    x = 34,786,119,982.64/127,348.50
  6. Step 6: Final answer
    x = 273,156.89

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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.