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Finding the Third Proportional to 79,547 and 171,549

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Solution

The third proportional to 79,547 and 171,549 is: 369,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,547 : 171,549 = 171,549 : x
  2. Step 2: Convert to fraction form
    79,547/171,549 = 171,549/x
  3. Step 3: Cross multiply
    79,547x = 171,549 × 171,549
  4. Step 4: Simplify right side
    79,547x = 29,429,059,401
  5. Step 5: Solve for x
    x = 29,429,059,401/79,547
  6. Step 6: Final answer
    x = 369,958.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.