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Finding the Third Proportional to 42,439 and 99,095

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Solution

The third proportional to 42,439 and 99,095 is: 231,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,439 : 99,095 = 99,095 : x
  2. Step 2: Convert to fraction form
    42,439/99,095 = 99,095/x
  3. Step 3: Cross multiply
    42,439x = 99,095 × 99,095
  4. Step 4: Simplify right side
    42,439x = 9,819,819,025
  5. Step 5: Solve for x
    x = 9,819,819,025/42,439
  6. Step 6: Final answer
    x = 231,386.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.