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Finding the Third Proportional to 46,025 and 99,304

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Solution

The third proportional to 46,025 and 99,304 is: 214,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,025 : 99,304 = 99,304 : x
  2. Step 2: Convert to fraction form
    46,025/99,304 = 99,304/x
  3. Step 3: Cross multiply
    46,025x = 99,304 × 99,304
  4. Step 4: Simplify right side
    46,025x = 9,861,284,416
  5. Step 5: Solve for x
    x = 9,861,284,416/46,025
  6. Step 6: Final answer
    x = 214,259.30

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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.