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Finding the Third Proportional to 83,075.63 and 112,645.69

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Solution

The third proportional to 83,075.63 and 112,645.69 is: 152,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.63 : 112,645.69 = 112,645.69 : x
  2. Step 2: Convert to fraction form
    83,075.63/112,645.69 = 112,645.69/x
  3. Step 3: Cross multiply
    83,075.63x = 112,645.69 × 112,645.69
  4. Step 4: Simplify right side
    83,075.63x = 12,689,050,912.35
  5. Step 5: Solve for x
    x = 12,689,050,912.35/83,075.63
  6. Step 6: Final answer
    x = 152,740.96

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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.