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Finding the Third Proportional to 47,547 and 101,841

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Solution

The third proportional to 47,547 and 101,841 is: 218,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547 : 101,841 = 101,841 : x
  2. Step 2: Convert to fraction form
    47,547/101,841 = 101,841/x
  3. Step 3: Cross multiply
    47,547x = 101,841 × 101,841
  4. Step 4: Simplify right side
    47,547x = 10,371,589,281
  5. Step 5: Solve for x
    x = 10,371,589,281/47,547
  6. Step 6: Final answer
    x = 218,133.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.