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Finding the Third Proportional to 73,130 and 109,216

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Solution

The third proportional to 73,130 and 109,216 is: 163,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,130 : 109,216 = 109,216 : x
  2. Step 2: Convert to fraction form
    73,130/109,216 = 109,216/x
  3. Step 3: Cross multiply
    73,130x = 109,216 × 109,216
  4. Step 4: Simplify right side
    73,130x = 11,928,134,656
  5. Step 5: Solve for x
    x = 11,928,134,656/73,130
  6. Step 6: Final answer
    x = 163,108.64

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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.