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Finding the Third Proportional to 63,582 and 86,253

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Solution

The third proportional to 63,582 and 86,253 is: 117,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,582 : 86,253 = 86,253 : x
  2. Step 2: Convert to fraction form
    63,582/86,253 = 86,253/x
  3. Step 3: Cross multiply
    63,582x = 86,253 × 86,253
  4. Step 4: Simplify right side
    63,582x = 7,439,580,009
  5. Step 5: Solve for x
    x = 7,439,580,009/63,582
  6. Step 6: Final answer
    x = 117,007.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.