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Finding the Third Proportional to 82,890 and 112,549.50

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Solution

The third proportional to 82,890 and 112,549.50 is: 152,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,890 : 112,549.50 = 112,549.50 : x
  2. Step 2: Convert to fraction form
    82,890/112,549.50 = 112,549.50/x
  3. Step 3: Cross multiply
    82,890x = 112,549.50 × 112,549.50
  4. Step 4: Simplify right side
    82,890x = 12,667,389,950.25
  5. Step 5: Solve for x
    x = 12,667,389,950.25/82,890
  6. Step 6: Final answer
    x = 152,821.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.