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Finding the Third Proportional to 61,786 and 102,264

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Solution

The third proportional to 61,786 and 102,264 is: 169,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,786 : 102,264 = 102,264 : x
  2. Step 2: Convert to fraction form
    61,786/102,264 = 102,264/x
  3. Step 3: Cross multiply
    61,786x = 102,264 × 102,264
  4. Step 4: Simplify right side
    61,786x = 10,457,925,696
  5. Step 5: Solve for x
    x = 10,457,925,696/61,786
  6. Step 6: Final answer
    x = 169,260.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.