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Finding the Third Proportional to 102,034.69 and 130,136.63

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Solution

The third proportional to 102,034.69 and 130,136.63 is: 165,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.69 : 130,136.63 = 130,136.63 : x
  2. Step 2: Convert to fraction form
    102,034.69/130,136.63 = 130,136.63/x
  3. Step 3: Cross multiply
    102,034.69x = 130,136.63 × 130,136.63
  4. Step 4: Simplify right side
    102,034.69x = 16,935,541,166.39
  5. Step 5: Solve for x
    x = 16,935,541,166.39/102,034.69
  6. Step 6: Final answer
    x = 165,978.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.