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Finding the Third Proportional to 60,535.50 and 119,518.50

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Solution

The third proportional to 60,535.50 and 119,518.50 is: 235,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,535.50 : 119,518.50 = 119,518.50 : x
  2. Step 2: Convert to fraction form
    60,535.50/119,518.50 = 119,518.50/x
  3. Step 3: Cross multiply
    60,535.50x = 119,518.50 × 119,518.50
  4. Step 4: Simplify right side
    60,535.50x = 14,284,671,842.25
  5. Step 5: Solve for x
    x = 14,284,671,842.25/60,535.50
  6. Step 6: Final answer
    x = 235,971.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.