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Finding the Third Proportional to 77,751 and 116,605

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Solution

The third proportional to 77,751 and 116,605 is: 174,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,751 : 116,605 = 116,605 : x
  2. Step 2: Convert to fraction form
    77,751/116,605 = 116,605/x
  3. Step 3: Cross multiply
    77,751x = 116,605 × 116,605
  4. Step 4: Simplify right side
    77,751x = 13,596,726,025
  5. Step 5: Solve for x
    x = 13,596,726,025/77,751
  6. Step 6: Final answer
    x = 174,875.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.