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Finding the Third Proportional to 103,844.25 and 155,593.13

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Solution

The third proportional to 103,844.25 and 155,593.13 is: 233,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,844.25 : 155,593.13 = 155,593.13 : x
  2. Step 2: Convert to fraction form
    103,844.25/155,593.13 = 155,593.13/x
  3. Step 3: Cross multiply
    103,844.25x = 155,593.13 × 155,593.13
  4. Step 4: Simplify right side
    103,844.25x = 24,209,220,547.27
  5. Step 5: Solve for x
    x = 24,209,220,547.27/103,844.25
  6. Step 6: Final answer
    x = 233,130.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.