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Finding the Third Proportional to 63,670 and 93,156

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Solution

The third proportional to 63,670 and 93,156 is: 136,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,670 : 93,156 = 93,156 : x
  2. Step 2: Convert to fraction form
    63,670/93,156 = 93,156/x
  3. Step 3: Cross multiply
    63,670x = 93,156 × 93,156
  4. Step 4: Simplify right side
    63,670x = 8,678,040,336
  5. Step 5: Solve for x
    x = 8,678,040,336/63,670
  6. Step 6: Final answer
    x = 136,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.