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Finding the Third Proportional to 58,466.94 and 94,160.19

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Solution

The third proportional to 58,466.94 and 94,160.19 is: 151,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,466.94 : 94,160.19 = 94,160.19 : x
  2. Step 2: Convert to fraction form
    58,466.94/94,160.19 = 94,160.19/x
  3. Step 3: Cross multiply
    58,466.94x = 94,160.19 × 94,160.19
  4. Step 4: Simplify right side
    58,466.94x = 8,866,140,910.04
  5. Step 5: Solve for x
    x = 8,866,140,910.04/58,466.94
  6. Step 6: Final answer
    x = 151,643.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.