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Finding the Third Proportional to 91,528 and 134,322

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Solution

The third proportional to 91,528 and 134,322 is: 197,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,528 : 134,322 = 134,322 : x
  2. Step 2: Convert to fraction form
    91,528/134,322 = 134,322/x
  3. Step 3: Cross multiply
    91,528x = 134,322 × 134,322
  4. Step 4: Simplify right side
    91,528x = 18,042,399,684
  5. Step 5: Solve for x
    x = 18,042,399,684/91,528
  6. Step 6: Final answer
    x = 197,124.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.