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Finding the Third Proportional to 70,056.63 and 111,527.97

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Solution

The third proportional to 70,056.63 and 111,527.97 is: 177,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,056.63 : 111,527.97 = 111,527.97 : x
  2. Step 2: Convert to fraction form
    70,056.63/111,527.97 = 111,527.97/x
  3. Step 3: Cross multiply
    70,056.63x = 111,527.97 × 111,527.97
  4. Step 4: Simplify right side
    70,056.63x = 12,438,487,813.50
  5. Step 5: Solve for x
    x = 12,438,487,813.50/70,056.63
  6. Step 6: Final answer
    x = 177,549.06

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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.