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Finding the Third Proportional to 88,023.75 and 190,075.50

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Solution

The third proportional to 88,023.75 and 190,075.50 is: 410,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,023.75 : 190,075.50 = 190,075.50 : x
  2. Step 2: Convert to fraction form
    88,023.75/190,075.50 = 190,075.50/x
  3. Step 3: Cross multiply
    88,023.75x = 190,075.50 × 190,075.50
  4. Step 4: Simplify right side
    88,023.75x = 36,128,695,700.25
  5. Step 5: Solve for x
    x = 36,128,695,700.25/88,023.75
  6. Step 6: Final answer
    x = 410,442.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.