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Finding the Third Proportional to 77,038 and 114,918

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Solution

The third proportional to 77,038 and 114,918 is: 171,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,038 : 114,918 = 114,918 : x
  2. Step 2: Convert to fraction form
    77,038/114,918 = 114,918/x
  3. Step 3: Cross multiply
    77,038x = 114,918 × 114,918
  4. Step 4: Simplify right side
    77,038x = 13,206,146,724
  5. Step 5: Solve for x
    x = 13,206,146,724/77,038
  6. Step 6: Final answer
    x = 171,423.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.