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Finding the Third Proportional to 58,746.75 and 120,604.50

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Solution

The third proportional to 58,746.75 and 120,604.50 is: 247,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746.75 : 120,604.50 = 120,604.50 : x
  2. Step 2: Convert to fraction form
    58,746.75/120,604.50 = 120,604.50/x
  3. Step 3: Cross multiply
    58,746.75x = 120,604.50 × 120,604.50
  4. Step 4: Simplify right side
    58,746.75x = 14,545,445,420.25
  5. Step 5: Solve for x
    x = 14,545,445,420.25/58,746.75
  6. Step 6: Final answer
    x = 247,595.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.