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Finding the Third Proportional to 58,594.50 and 121,343.06

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Solution

The third proportional to 58,594.50 and 121,343.06 is: 251,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,594.50 : 121,343.06 = 121,343.06 : x
  2. Step 2: Convert to fraction form
    58,594.50/121,343.06 = 121,343.06/x
  3. Step 3: Cross multiply
    58,594.50x = 121,343.06 × 121,343.06
  4. Step 4: Simplify right side
    58,594.50x = 14,724,138,816.88
  5. Step 5: Solve for x
    x = 14,724,138,816.88/58,594.50
  6. Step 6: Final answer
    x = 251,288.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.