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Finding the Third Proportional to 77,962.50 and 117,645

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Solution

The third proportional to 77,962.50 and 117,645 is: 177,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962.50 : 117,645 = 117,645 : x
  2. Step 2: Convert to fraction form
    77,962.50/117,645 = 117,645/x
  3. Step 3: Cross multiply
    77,962.50x = 117,645 × 117,645
  4. Step 4: Simplify right side
    77,962.50x = 13,840,346,025
  5. Step 5: Solve for x
    x = 13,840,346,025/77,962.50
  6. Step 6: Final answer
    x = 177,525.68

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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.