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Finding the Third Proportional to 63,026 and 94,095

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Solution

The third proportional to 63,026 and 94,095 is: 140,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,026 : 94,095 = 94,095 : x
  2. Step 2: Convert to fraction form
    63,026/94,095 = 94,095/x
  3. Step 3: Cross multiply
    63,026x = 94,095 × 94,095
  4. Step 4: Simplify right side
    63,026x = 8,853,869,025
  5. Step 5: Solve for x
    x = 8,853,869,025/63,026
  6. Step 6: Final answer
    x = 140,479.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.