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Finding the Third Proportional to 74,602.27 and 152,651.46

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Solution

The third proportional to 74,602.27 and 152,651.46 is: 312,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602.27 : 152,651.46 = 152,651.46 : x
  2. Step 2: Convert to fraction form
    74,602.27/152,651.46 = 152,651.46/x
  3. Step 3: Cross multiply
    74,602.27x = 152,651.46 × 152,651.46
  4. Step 4: Simplify right side
    74,602.27x = 23,302,468,526.35
  5. Step 5: Solve for x
    x = 23,302,468,526.35/74,602.27
  6. Step 6: Final answer
    x = 312,356.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.