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Finding the Third Proportional to 58,293 and 125,077.50

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Solution

The third proportional to 58,293 and 125,077.50 is: 268,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,293 : 125,077.50 = 125,077.50 : x
  2. Step 2: Convert to fraction form
    58,293/125,077.50 = 125,077.50/x
  3. Step 3: Cross multiply
    58,293x = 125,077.50 × 125,077.50
  4. Step 4: Simplify right side
    58,293x = 15,644,381,006.25
  5. Step 5: Solve for x
    x = 15,644,381,006.25/58,293
  6. Step 6: Final answer
    x = 268,374.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.