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Finding the Third Proportional to 109,602.02 and 133,513.79

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Solution

The third proportional to 109,602.02 and 133,513.79 is: 162,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,602.02 : 133,513.79 = 133,513.79 : x
  2. Step 2: Convert to fraction form
    109,602.02/133,513.79 = 133,513.79/x
  3. Step 3: Cross multiply
    109,602.02x = 133,513.79 × 133,513.79
  4. Step 4: Simplify right side
    109,602.02x = 17,825,931,348.29
  5. Step 5: Solve for x
    x = 17,825,931,348.29/109,602.02
  6. Step 6: Final answer
    x = 162,642.37

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.