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Finding the Third Proportional to 71,210.50 and 111,703.75

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Solution

The third proportional to 71,210.50 and 111,703.75 is: 175,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.50 : 111,703.75 = 111,703.75 : x
  2. Step 2: Convert to fraction form
    71,210.50/111,703.75 = 111,703.75/x
  3. Step 3: Cross multiply
    71,210.50x = 111,703.75 × 111,703.75
  4. Step 4: Simplify right side
    71,210.50x = 12,477,727,764.06
  5. Step 5: Solve for x
    x = 12,477,727,764.06/71,210.50
  6. Step 6: Final answer
    x = 175,223.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.