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Finding the Third Proportional to 97,426.13 and 155,143.69

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Solution

The third proportional to 97,426.13 and 155,143.69 is: 247,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426.13 : 155,143.69 = 155,143.69 : x
  2. Step 2: Convert to fraction form
    97,426.13/155,143.69 = 155,143.69/x
  3. Step 3: Cross multiply
    97,426.13x = 155,143.69 × 155,143.69
  4. Step 4: Simplify right side
    97,426.13x = 24,069,563,771.10
  5. Step 5: Solve for x
    x = 24,069,563,771.10/97,426.13
  6. Step 6: Final answer
    x = 247,054.51

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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.