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Finding the Third Proportional to 47,677 and 103,547

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Solution

The third proportional to 47,677 and 103,547 is: 224,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677 : 103,547 = 103,547 : x
  2. Step 2: Convert to fraction form
    47,677/103,547 = 103,547/x
  3. Step 3: Cross multiply
    47,677x = 103,547 × 103,547
  4. Step 4: Simplify right side
    47,677x = 10,721,981,209
  5. Step 5: Solve for x
    x = 10,721,981,209/47,677
  6. Step 6: Final answer
    x = 224,887.92

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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.