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Finding the Third Proportional to 111,709.13 and 243,073.13

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Solution

The third proportional to 111,709.13 and 243,073.13 is: 528,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.13 : 243,073.13 = 243,073.13 : x
  2. Step 2: Convert to fraction form
    111,709.13/243,073.13 = 243,073.13/x
  3. Step 3: Cross multiply
    111,709.13x = 243,073.13 × 243,073.13
  4. Step 4: Simplify right side
    111,709.13x = 59,084,544,097.27
  5. Step 5: Solve for x
    x = 59,084,544,097.27/111,709.13
  6. Step 6: Final answer
    x = 528,914.21

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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.