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Finding the Third Proportional to 46,182 and 99,582

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Solution

The third proportional to 46,182 and 99,582 is: 214,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 99,582 = 99,582 : x
  2. Step 2: Convert to fraction form
    46,182/99,582 = 99,582/x
  3. Step 3: Cross multiply
    46,182x = 99,582 × 99,582
  4. Step 4: Simplify right side
    46,182x = 9,916,574,724
  5. Step 5: Solve for x
    x = 9,916,574,724/46,182
  6. Step 6: Final answer
    x = 214,728.13

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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.