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Finding the Third Proportional to 68,114.04 and 105,045.19

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Solution

The third proportional to 68,114.04 and 105,045.19 is: 162,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.04 : 105,045.19 = 105,045.19 : x
  2. Step 2: Convert to fraction form
    68,114.04/105,045.19 = 105,045.19/x
  3. Step 3: Cross multiply
    68,114.04x = 105,045.19 × 105,045.19
  4. Step 4: Simplify right side
    68,114.04x = 11,034,491,416.91
  5. Step 5: Solve for x
    x = 11,034,491,416.91/68,114.04
  6. Step 6: Final answer
    x = 162,000.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.