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Finding the Third Proportional to 84,706.50 and 112,926.50

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Solution

The third proportional to 84,706.50 and 112,926.50 is: 150,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706.50 : 112,926.50 = 112,926.50 : x
  2. Step 2: Convert to fraction form
    84,706.50/112,926.50 = 112,926.50/x
  3. Step 3: Cross multiply
    84,706.50x = 112,926.50 × 112,926.50
  4. Step 4: Simplify right side
    84,706.50x = 12,752,394,402.25
  5. Step 5: Solve for x
    x = 12,752,394,402.25/84,706.50
  6. Step 6: Final answer
    x = 150,548.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.