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Finding the Third Proportional to 41,582 and 88,888

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Solution

The third proportional to 41,582 and 88,888 is: 190,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,582 : 88,888 = 88,888 : x
  2. Step 2: Convert to fraction form
    41,582/88,888 = 88,888/x
  3. Step 3: Cross multiply
    41,582x = 88,888 × 88,888
  4. Step 4: Simplify right side
    41,582x = 7,901,076,544
  5. Step 5: Solve for x
    x = 7,901,076,544/41,582
  6. Step 6: Final answer
    x = 190,011.94

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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.