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Finding the Third Proportional to 58,293 and 85,506.75

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Solution

The third proportional to 58,293 and 85,506.75 is: 125,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,293 : 85,506.75 = 85,506.75 : x
  2. Step 2: Convert to fraction form
    58,293/85,506.75 = 85,506.75/x
  3. Step 3: Cross multiply
    58,293x = 85,506.75 × 85,506.75
  4. Step 4: Simplify right side
    58,293x = 7,311,404,295.56
  5. Step 5: Solve for x
    x = 7,311,404,295.56/58,293
  6. Step 6: Final answer
    x = 125,425.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.