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Finding the Third Proportional to 79,368 and 171,088

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Solution

The third proportional to 79,368 and 171,088 is: 368,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,368 : 171,088 = 171,088 : x
  2. Step 2: Convert to fraction form
    79,368/171,088 = 171,088/x
  3. Step 3: Cross multiply
    79,368x = 171,088 × 171,088
  4. Step 4: Simplify right side
    79,368x = 29,271,103,744
  5. Step 5: Solve for x
    x = 29,271,103,744/79,368
  6. Step 6: Final answer
    x = 368,802.34

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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.