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Finding the Third Proportional to 73,445 and 151,237

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Solution

The third proportional to 73,445 and 151,237 is: 311,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,445 : 151,237 = 151,237 : x
  2. Step 2: Convert to fraction form
    73,445/151,237 = 151,237/x
  3. Step 3: Cross multiply
    73,445x = 151,237 × 151,237
  4. Step 4: Simplify right side
    73,445x = 22,872,630,169
  5. Step 5: Solve for x
    x = 22,872,630,169/73,445
  6. Step 6: Final answer
    x = 311,425.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.