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Finding the Third Proportional to 46,254 and 99,520

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Solution

The third proportional to 46,254 and 99,520 is: 214,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 99,520 = 99,520 : x
  2. Step 2: Convert to fraction form
    46,254/99,520 = 99,520/x
  3. Step 3: Cross multiply
    46,254x = 99,520 × 99,520
  4. Step 4: Simplify right side
    46,254x = 9,904,230,400
  5. Step 5: Solve for x
    x = 9,904,230,400/46,254
  6. Step 6: Final answer
    x = 214,127.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.