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Finding the Third Proportional to 116,133 and 169,717

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Solution

The third proportional to 116,133 and 169,717 is: 248,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,133 : 169,717 = 169,717 : x
  2. Step 2: Convert to fraction form
    116,133/169,717 = 169,717/x
  3. Step 3: Cross multiply
    116,133x = 169,717 × 169,717
  4. Step 4: Simplify right side
    116,133x = 28,803,860,089
  5. Step 5: Solve for x
    x = 28,803,860,089/116,133
  6. Step 6: Final answer
    x = 248,024.77

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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.