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Finding the Third Proportional to 47,535 and 103,281

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Solution

The third proportional to 47,535 and 103,281 is: 224,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535 : 103,281 = 103,281 : x
  2. Step 2: Convert to fraction form
    47,535/103,281 = 103,281/x
  3. Step 3: Cross multiply
    47,535x = 103,281 × 103,281
  4. Step 4: Simplify right side
    47,535x = 10,666,964,961
  5. Step 5: Solve for x
    x = 10,666,964,961/47,535
  6. Step 6: Final answer
    x = 224,402.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.