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Finding the Third Proportional to 63,110 and 94,827

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Solution

The third proportional to 63,110 and 94,827 is: 142,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,110 : 94,827 = 94,827 : x
  2. Step 2: Convert to fraction form
    63,110/94,827 = 94,827/x
  3. Step 3: Cross multiply
    63,110x = 94,827 × 94,827
  4. Step 4: Simplify right side
    63,110x = 8,992,159,929
  5. Step 5: Solve for x
    x = 8,992,159,929/63,110
  6. Step 6: Final answer
    x = 142,483.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.