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Finding the Third Proportional to 58,511.25 and 85,684.13

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Solution

The third proportional to 58,511.25 and 85,684.13 is: 125,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,511.25 : 85,684.13 = 85,684.13 : x
  2. Step 2: Convert to fraction form
    58,511.25/85,684.13 = 85,684.13/x
  3. Step 3: Cross multiply
    58,511.25x = 85,684.13 × 85,684.13
  4. Step 4: Simplify right side
    58,511.25x = 7,341,769,277.02
  5. Step 5: Solve for x
    x = 7,341,769,277.02/58,511.25
  6. Step 6: Final answer
    x = 125,476.20

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Why These Related Problems?

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