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Finding the Third Proportional to 47,178 and 101,346

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Solution

The third proportional to 47,178 and 101,346 is: 217,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178 : 101,346 = 101,346 : x
  2. Step 2: Convert to fraction form
    47,178/101,346 = 101,346/x
  3. Step 3: Cross multiply
    47,178x = 101,346 × 101,346
  4. Step 4: Simplify right side
    47,178x = 10,271,011,716
  5. Step 5: Solve for x
    x = 10,271,011,716/47,178
  6. Step 6: Final answer
    x = 217,707.65

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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.