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Finding the Third Proportional to 77,973.50 and 117,515

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Solution

The third proportional to 77,973.50 and 117,515 is: 177,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973.50 : 117,515 = 117,515 : x
  2. Step 2: Convert to fraction form
    77,973.50/117,515 = 117,515/x
  3. Step 3: Cross multiply
    77,973.50x = 117,515 × 117,515
  4. Step 4: Simplify right side
    77,973.50x = 13,809,775,225
  5. Step 5: Solve for x
    x = 13,809,775,225/77,973.50
  6. Step 6: Final answer
    x = 177,108.57

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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.