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Finding the Third Proportional to 63,102 and 94,106

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Solution

The third proportional to 63,102 and 94,106 is: 140,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102 : 94,106 = 94,106 : x
  2. Step 2: Convert to fraction form
    63,102/94,106 = 94,106/x
  3. Step 3: Cross multiply
    63,102x = 94,106 × 94,106
  4. Step 4: Simplify right side
    63,102x = 8,855,939,236
  5. Step 5: Solve for x
    x = 8,855,939,236/63,102
  6. Step 6: Final answer
    x = 140,343.24

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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.