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Finding the Third Proportional to 63,582 and 98,295

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Solution

The third proportional to 63,582 and 98,295 is: 151,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,582 : 98,295 = 98,295 : x
  2. Step 2: Convert to fraction form
    63,582/98,295 = 98,295/x
  3. Step 3: Cross multiply
    63,582x = 98,295 × 98,295
  4. Step 4: Simplify right side
    63,582x = 9,661,907,025
  5. Step 5: Solve for x
    x = 9,661,907,025/63,582
  6. Step 6: Final answer
    x = 151,959.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.