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Finding the Third Proportional to 73,127.81 and 109,213.31

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Solution

The third proportional to 73,127.81 and 109,213.31 is: 163,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127.81 : 109,213.31 = 109,213.31 : x
  2. Step 2: Convert to fraction form
    73,127.81/109,213.31 = 109,213.31/x
  3. Step 3: Cross multiply
    73,127.81x = 109,213.31 × 109,213.31
  4. Step 4: Simplify right side
    73,127.81x = 11,927,547,627.22
  5. Step 5: Solve for x
    x = 11,927,547,627.22/73,127.81
  6. Step 6: Final answer
    x = 163,105.49

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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.