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Finding the Third Proportional to 97,039.13 and 133,624.13

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Solution

The third proportional to 97,039.13 and 133,624.13 is: 184,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,039.13 : 133,624.13 = 133,624.13 : x
  2. Step 2: Convert to fraction form
    97,039.13/133,624.13 = 133,624.13/x
  3. Step 3: Cross multiply
    97,039.13x = 133,624.13 × 133,624.13
  4. Step 4: Simplify right side
    97,039.13x = 17,855,406,782.02
  5. Step 5: Solve for x
    x = 17,855,406,782.02/97,039.13
  6. Step 6: Final answer
    x = 184,002.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.