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Finding the Third Proportional to 58,311 and 89,650.50

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Solution

The third proportional to 58,311 and 89,650.50 is: 137,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,311 : 89,650.50 = 89,650.50 : x
  2. Step 2: Convert to fraction form
    58,311/89,650.50 = 89,650.50/x
  3. Step 3: Cross multiply
    58,311x = 89,650.50 × 89,650.50
  4. Step 4: Simplify right side
    58,311x = 8,037,212,150.25
  5. Step 5: Solve for x
    x = 8,037,212,150.25/58,311
  6. Step 6: Final answer
    x = 137,833.55

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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.