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Finding the Third Proportional to 63,669 and 96,886

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Solution

The third proportional to 63,669 and 96,886 is: 147,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 96,886 = 96,886 : x
  2. Step 2: Convert to fraction form
    63,669/96,886 = 96,886/x
  3. Step 3: Cross multiply
    63,669x = 96,886 × 96,886
  4. Step 4: Simplify right side
    63,669x = 9,386,896,996
  5. Step 5: Solve for x
    x = 9,386,896,996/63,669
  6. Step 6: Final answer
    x = 147,432.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.