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Finding the Third Proportional to 47,358 and 103,491

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Solution

The third proportional to 47,358 and 103,491 is: 226,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 103,491 = 103,491 : x
  2. Step 2: Convert to fraction form
    47,358/103,491 = 103,491/x
  3. Step 3: Cross multiply
    47,358x = 103,491 × 103,491
  4. Step 4: Simplify right side
    47,358x = 10,710,387,081
  5. Step 5: Solve for x
    x = 10,710,387,081/47,358
  6. Step 6: Final answer
    x = 226,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.