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Finding the Third Proportional to 74,767.50 and 112,154

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Solution

The third proportional to 74,767.50 and 112,154 is: 168,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,767.50 : 112,154 = 112,154 : x
  2. Step 2: Convert to fraction form
    74,767.50/112,154 = 112,154/x
  3. Step 3: Cross multiply
    74,767.50x = 112,154 × 112,154
  4. Step 4: Simplify right side
    74,767.50x = 12,578,519,716
  5. Step 5: Solve for x
    x = 12,578,519,716/74,767.50
  6. Step 6: Final answer
    x = 168,235.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.