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Finding the Third Proportional to 73,140.75 and 109,232.63

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Solution

The third proportional to 73,140.75 and 109,232.63 is: 163,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140.75 : 109,232.63 = 109,232.63 : x
  2. Step 2: Convert to fraction form
    73,140.75/109,232.63 = 109,232.63/x
  3. Step 3: Cross multiply
    73,140.75x = 109,232.63 × 109,232.63
  4. Step 4: Simplify right side
    73,140.75x = 11,931,766,364.39
  5. Step 5: Solve for x
    x = 11,931,766,364.39/73,140.75
  6. Step 6: Final answer
    x = 163,134.32

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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.