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Finding the Third Proportional to 47,521 and 110,498

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Solution

The third proportional to 47,521 and 110,498 is: 256,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521 : 110,498 = 110,498 : x
  2. Step 2: Convert to fraction form
    47,521/110,498 = 110,498/x
  3. Step 3: Cross multiply
    47,521x = 110,498 × 110,498
  4. Step 4: Simplify right side
    47,521x = 12,209,808,004
  5. Step 5: Solve for x
    x = 12,209,808,004/47,521
  6. Step 6: Final answer
    x = 256,935.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.