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Finding the Third Proportional to 79,925 and 184,547

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Solution

The third proportional to 79,925 and 184,547 is: 426,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,925 : 184,547 = 184,547 : x
  2. Step 2: Convert to fraction form
    79,925/184,547 = 184,547/x
  3. Step 3: Cross multiply
    79,925x = 184,547 × 184,547
  4. Step 4: Simplify right side
    79,925x = 34,057,595,209
  5. Step 5: Solve for x
    x = 34,057,595,209/79,925
  6. Step 6: Final answer
    x = 426,119.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.