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Finding the Third Proportional to 77,635 and 116,841

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Solution

The third proportional to 77,635 and 116,841 is: 175,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,635 : 116,841 = 116,841 : x
  2. Step 2: Convert to fraction form
    77,635/116,841 = 116,841/x
  3. Step 3: Cross multiply
    77,635x = 116,841 × 116,841
  4. Step 4: Simplify right side
    77,635x = 13,651,819,281
  5. Step 5: Solve for x
    x = 13,651,819,281/77,635
  6. Step 6: Final answer
    x = 175,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.