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Finding the Third Proportional to 75,124.50 and 153,030

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Solution

The third proportional to 75,124.50 and 153,030 is: 311,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,124.50 : 153,030 = 153,030 : x
  2. Step 2: Convert to fraction form
    75,124.50/153,030 = 153,030/x
  3. Step 3: Cross multiply
    75,124.50x = 153,030 × 153,030
  4. Step 4: Simplify right side
    75,124.50x = 23,418,180,900
  5. Step 5: Solve for x
    x = 23,418,180,900/75,124.50
  6. Step 6: Final answer
    x = 311,724.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.