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Finding the Third Proportional to 105,265.13 and 167,329.13

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Solution

The third proportional to 105,265.13 and 167,329.13 is: 265,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,265.13 : 167,329.13 = 167,329.13 : x
  2. Step 2: Convert to fraction form
    105,265.13/167,329.13 = 167,329.13/x
  3. Step 3: Cross multiply
    105,265.13x = 167,329.13 × 167,329.13
  4. Step 4: Simplify right side
    105,265.13x = 27,999,036,073.27
  5. Step 5: Solve for x
    x = 27,999,036,073.27/105,265.13
  6. Step 6: Final answer
    x = 265,985.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.