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Finding the Third Proportional to 112,711.50 and 266,054.63

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Solution

The third proportional to 112,711.50 and 266,054.63 is: 628,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,711.50 : 266,054.63 = 266,054.63 : x
  2. Step 2: Convert to fraction form
    112,711.50/266,054.63 = 266,054.63/x
  3. Step 3: Cross multiply
    112,711.50x = 266,054.63 × 266,054.63
  4. Step 4: Simplify right side
    112,711.50x = 70,785,063,483.89
  5. Step 5: Solve for x
    x = 70,785,063,483.89/112,711.50
  6. Step 6: Final answer
    x = 628,019.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.