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Finding the Third Proportional to 73,859.63 and 161,083.13

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Solution

The third proportional to 73,859.63 and 161,083.13 is: 351,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,859.63 : 161,083.13 = 161,083.13 : x
  2. Step 2: Convert to fraction form
    73,859.63/161,083.13 = 161,083.13/x
  3. Step 3: Cross multiply
    73,859.63x = 161,083.13 × 161,083.13
  4. Step 4: Simplify right side
    73,859.63x = 25,947,773,159.77
  5. Step 5: Solve for x
    x = 25,947,773,159.77/73,859.63
  6. Step 6: Final answer
    x = 351,312.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.