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Finding the Third Proportional to 69,886.50 and 110,835

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Solution

The third proportional to 69,886.50 and 110,835 is: 175,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,886.50 : 110,835 = 110,835 : x
  2. Step 2: Convert to fraction form
    69,886.50/110,835 = 110,835/x
  3. Step 3: Cross multiply
    69,886.50x = 110,835 × 110,835
  4. Step 4: Simplify right side
    69,886.50x = 12,284,397,225
  5. Step 5: Solve for x
    x = 12,284,397,225/69,886.50
  6. Step 6: Final answer
    x = 175,776.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.