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Finding the Third Proportional to 61,364 and 136,552

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Solution

The third proportional to 61,364 and 136,552 is: 303,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,364 : 136,552 = 136,552 : x
  2. Step 2: Convert to fraction form
    61,364/136,552 = 136,552/x
  3. Step 3: Cross multiply
    61,364x = 136,552 × 136,552
  4. Step 4: Simplify right side
    61,364x = 18,646,448,704
  5. Step 5: Solve for x
    x = 18,646,448,704/61,364
  6. Step 6: Final answer
    x = 303,866.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.