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Finding the Third Proportional to 97,723.13 and 154,864.69

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Solution

The third proportional to 97,723.13 and 154,864.69 is: 245,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,723.13 : 154,864.69 = 154,864.69 : x
  2. Step 2: Convert to fraction form
    97,723.13/154,864.69 = 154,864.69/x
  3. Step 3: Cross multiply
    97,723.13x = 154,864.69 × 154,864.69
  4. Step 4: Simplify right side
    97,723.13x = 23,983,071,434.47
  5. Step 5: Solve for x
    x = 23,983,071,434.47/97,723.13
  6. Step 6: Final answer
    x = 245,418.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.