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Finding the Third Proportional to 40,172 and 87,490

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Solution

The third proportional to 40,172 and 87,490 is: 190,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,172 : 87,490 = 87,490 : x
  2. Step 2: Convert to fraction form
    40,172/87,490 = 87,490/x
  3. Step 3: Cross multiply
    40,172x = 87,490 × 87,490
  4. Step 4: Simplify right side
    40,172x = 7,654,500,100
  5. Step 5: Solve for x
    x = 7,654,500,100/40,172
  6. Step 6: Final answer
    x = 190,543.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.