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Finding the Third Proportional to 58,957 and 127,250.50

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Solution

The third proportional to 58,957 and 127,250.50 is: 274,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,957 : 127,250.50 = 127,250.50 : x
  2. Step 2: Convert to fraction form
    58,957/127,250.50 = 127,250.50/x
  3. Step 3: Cross multiply
    58,957x = 127,250.50 × 127,250.50
  4. Step 4: Simplify right side
    58,957x = 16,192,689,750.25
  5. Step 5: Solve for x
    x = 16,192,689,750.25/58,957
  6. Step 6: Final answer
    x = 274,652.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.