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Finding the Third Proportional to 51,677 and 105,547

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Solution

The third proportional to 51,677 and 105,547 is: 215,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,677 : 105,547 = 105,547 : x
  2. Step 2: Convert to fraction form
    51,677/105,547 = 105,547/x
  3. Step 3: Cross multiply
    51,677x = 105,547 × 105,547
  4. Step 4: Simplify right side
    51,677x = 11,140,169,209
  5. Step 5: Solve for x
    x = 11,140,169,209/51,677
  6. Step 6: Final answer
    x = 215,573.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.