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Finding the Third Proportional to 35,184 and 77,044

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Solution

The third proportional to 35,184 and 77,044 is: 168,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,184 : 77,044 = 77,044 : x
  2. Step 2: Convert to fraction form
    35,184/77,044 = 77,044/x
  3. Step 3: Cross multiply
    35,184x = 77,044 × 77,044
  4. Step 4: Simplify right side
    35,184x = 5,935,777,936
  5. Step 5: Solve for x
    x = 5,935,777,936/35,184
  6. Step 6: Final answer
    x = 168,706.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.