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Finding the Third Proportional to 107,497.13 and 168,004.13

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Solution

The third proportional to 107,497.13 and 168,004.13 is: 262,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,497.13 : 168,004.13 = 168,004.13 : x
  2. Step 2: Convert to fraction form
    107,497.13/168,004.13 = 168,004.13/x
  3. Step 3: Cross multiply
    107,497.13x = 168,004.13 × 168,004.13
  4. Step 4: Simplify right side
    107,497.13x = 28,225,386,017.02
  5. Step 5: Solve for x
    x = 28,225,386,017.02/107,497.13
  6. Step 6: Final answer
    x = 262,568.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.