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Finding the Third Proportional to 32,501 and 69,103

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Solution

The third proportional to 32,501 and 69,103 is: 146,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501 : 69,103 = 69,103 : x
  2. Step 2: Convert to fraction form
    32,501/69,103 = 69,103/x
  3. Step 3: Cross multiply
    32,501x = 69,103 × 69,103
  4. Step 4: Simplify right side
    32,501x = 4,775,224,609
  5. Step 5: Solve for x
    x = 4,775,224,609/32,501
  6. Step 6: Final answer
    x = 146,925.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.