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Finding the Third Proportional to 102,075.19 and 153,214.88

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Solution

The third proportional to 102,075.19 and 153,214.88 is: 229,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.19 : 153,214.88 = 153,214.88 : x
  2. Step 2: Convert to fraction form
    102,075.19/153,214.88 = 153,214.88/x
  3. Step 3: Cross multiply
    102,075.19x = 153,214.88 × 153,214.88
  4. Step 4: Simplify right side
    102,075.19x = 23,474,797,921.27
  5. Step 5: Solve for x
    x = 23,474,797,921.27/102,075.19
  6. Step 6: Final answer
    x = 229,975.56

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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.