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Finding the Third Proportional to 88,069.50 and 117,977.63

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Solution

The third proportional to 88,069.50 and 117,977.63 is: 158,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,069.50 : 117,977.63 = 117,977.63 : x
  2. Step 2: Convert to fraction form
    88,069.50/117,977.63 = 117,977.63/x
  3. Step 3: Cross multiply
    88,069.50x = 117,977.63 × 117,977.63
  4. Step 4: Simplify right side
    88,069.50x = 13,918,720,000.64
  5. Step 5: Solve for x
    x = 13,918,720,000.64/88,069.50
  6. Step 6: Final answer
    x = 158,042.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.