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Finding the Third Proportional to 89,820 and 149,691.50

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Solution

The third proportional to 89,820 and 149,691.50 is: 249,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820 : 149,691.50 = 149,691.50 : x
  2. Step 2: Convert to fraction form
    89,820/149,691.50 = 149,691.50/x
  3. Step 3: Cross multiply
    89,820x = 149,691.50 × 149,691.50
  4. Step 4: Simplify right side
    89,820x = 22,407,545,172.25
  5. Step 5: Solve for x
    x = 22,407,545,172.25/89,820
  6. Step 6: Final answer
    x = 249,471.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.