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Finding the Third Proportional to 58,462.13 and 85,506.19

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Solution

The third proportional to 58,462.13 and 85,506.19 is: 125,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462.13 : 85,506.19 = 85,506.19 : x
  2. Step 2: Convert to fraction form
    58,462.13/85,506.19 = 85,506.19/x
  3. Step 3: Cross multiply
    58,462.13x = 85,506.19 × 85,506.19
  4. Step 4: Simplify right side
    58,462.13x = 7,311,308,100.79
  5. Step 5: Solve for x
    x = 7,311,308,100.79/58,462.13
  6. Step 6: Final answer
    x = 125,060.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.