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Finding the Third Proportional to 94,502 and 147,909

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Solution

The third proportional to 94,502 and 147,909 is: 231,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,502 : 147,909 = 147,909 : x
  2. Step 2: Convert to fraction form
    94,502/147,909 = 147,909/x
  3. Step 3: Cross multiply
    94,502x = 147,909 × 147,909
  4. Step 4: Simplify right side
    94,502x = 21,877,072,281
  5. Step 5: Solve for x
    x = 21,877,072,281/94,502
  6. Step 6: Final answer
    x = 231,498.51

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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.