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Finding the Third Proportional to 63,670 and 96,964

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Solution

The third proportional to 63,670 and 96,964 is: 147,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,670 : 96,964 = 96,964 : x
  2. Step 2: Convert to fraction form
    63,670/96,964 = 96,964/x
  3. Step 3: Cross multiply
    63,670x = 96,964 × 96,964
  4. Step 4: Simplify right side
    63,670x = 9,402,017,296
  5. Step 5: Solve for x
    x = 9,402,017,296/63,670
  6. Step 6: Final answer
    x = 147,667.93

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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.