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Finding the Third Proportional to 94,470 and 144,681

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Solution

The third proportional to 94,470 and 144,681 is: 221,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,470 : 144,681 = 144,681 : x
  2. Step 2: Convert to fraction form
    94,470/144,681 = 144,681/x
  3. Step 3: Cross multiply
    94,470x = 144,681 × 144,681
  4. Step 4: Simplify right side
    94,470x = 20,932,591,761
  5. Step 5: Solve for x
    x = 20,932,591,761/94,470
  6. Step 6: Final answer
    x = 221,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.