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Finding the Third Proportional to 59,390 and 128,062.50

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Solution

The third proportional to 59,390 and 128,062.50 is: 276,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,390 : 128,062.50 = 128,062.50 : x
  2. Step 2: Convert to fraction form
    59,390/128,062.50 = 128,062.50/x
  3. Step 3: Cross multiply
    59,390x = 128,062.50 × 128,062.50
  4. Step 4: Simplify right side
    59,390x = 16,400,003,906.25
  5. Step 5: Solve for x
    x = 16,400,003,906.25/59,390
  6. Step 6: Final answer
    x = 276,140.83

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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.