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Finding the Third Proportional to 58,289.63 and 120,723.75

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Solution

The third proportional to 58,289.63 and 120,723.75 is: 250,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,289.63 : 120,723.75 = 120,723.75 : x
  2. Step 2: Convert to fraction form
    58,289.63/120,723.75 = 120,723.75/x
  3. Step 3: Cross multiply
    58,289.63x = 120,723.75 × 120,723.75
  4. Step 4: Simplify right side
    58,289.63x = 14,574,223,814.06
  5. Step 5: Solve for x
    x = 14,574,223,814.06/58,289.63
  6. Step 6: Final answer
    x = 250,031.18

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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.