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Finding the Third Proportional to 91,597.50 and 143,572.50

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Solution

The third proportional to 91,597.50 and 143,572.50 is: 225,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,597.50 : 143,572.50 = 143,572.50 : x
  2. Step 2: Convert to fraction form
    91,597.50/143,572.50 = 143,572.50/x
  3. Step 3: Cross multiply
    91,597.50x = 143,572.50 × 143,572.50
  4. Step 4: Simplify right side
    91,597.50x = 20,613,062,756.25
  5. Step 5: Solve for x
    x = 20,613,062,756.25/91,597.50
  6. Step 6: Final answer
    x = 225,039.58

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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.