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Finding the Third Proportional to 102,276.42 and 153,554.17

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Solution

The third proportional to 102,276.42 and 153,554.17 is: 230,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,276.42 : 153,554.17 = 153,554.17 : x
  2. Step 2: Convert to fraction form
    102,276.42/153,554.17 = 153,554.17/x
  3. Step 3: Cross multiply
    102,276.42x = 153,554.17 × 153,554.17
  4. Step 4: Simplify right side
    102,276.42x = 23,578,882,500.58
  5. Step 5: Solve for x
    x = 23,578,882,500.58/102,276.42
  6. Step 6: Final answer
    x = 230,540.75

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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.