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Finding the Third Proportional to 71,658.50 and 151,854

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Solution

The third proportional to 71,658.50 and 151,854 is: 321,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658.50 : 151,854 = 151,854 : x
  2. Step 2: Convert to fraction form
    71,658.50/151,854 = 151,854/x
  3. Step 3: Cross multiply
    71,658.50x = 151,854 × 151,854
  4. Step 4: Simplify right side
    71,658.50x = 23,059,637,316
  5. Step 5: Solve for x
    x = 23,059,637,316/71,658.50
  6. Step 6: Final answer
    x = 321,799.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.