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Finding the Third Proportional to 58,669.50 and 120,072

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Solution

The third proportional to 58,669.50 and 120,072 is: 245,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,669.50 : 120,072 = 120,072 : x
  2. Step 2: Convert to fraction form
    58,669.50/120,072 = 120,072/x
  3. Step 3: Cross multiply
    58,669.50x = 120,072 × 120,072
  4. Step 4: Simplify right side
    58,669.50x = 14,417,285,184
  5. Step 5: Solve for x
    x = 14,417,285,184/58,669.50
  6. Step 6: Final answer
    x = 245,737.31

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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.