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Finding the Third Proportional to 97,200 and 124,203

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Solution

The third proportional to 97,200 and 124,203 is: 158,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 124,203 = 124,203 : x
  2. Step 2: Convert to fraction form
    97,200/124,203 = 124,203/x
  3. Step 3: Cross multiply
    97,200x = 124,203 × 124,203
  4. Step 4: Simplify right side
    97,200x = 15,426,385,209
  5. Step 5: Solve for x
    x = 15,426,385,209/97,200
  6. Step 6: Final answer
    x = 158,707.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.