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Finding the Third Proportional to 104,559.75 and 157,075.88

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Solution

The third proportional to 104,559.75 and 157,075.88 is: 235,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,559.75 : 157,075.88 = 157,075.88 : x
  2. Step 2: Convert to fraction form
    104,559.75/157,075.88 = 157,075.88/x
  3. Step 3: Cross multiply
    104,559.75x = 157,075.88 × 157,075.88
  4. Step 4: Simplify right side
    104,559.75x = 24,672,830,507.02
  5. Step 5: Solve for x
    x = 24,672,830,507.02/104,559.75
  6. Step 6: Final answer
    x = 235,968.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.