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Finding the Third Proportional to 131,470 and 144,052

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Solution

The third proportional to 131,470 and 144,052 is: 157,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470 : 144,052 = 144,052 : x
  2. Step 2: Convert to fraction form
    131,470/144,052 = 144,052/x
  3. Step 3: Cross multiply
    131,470x = 144,052 × 144,052
  4. Step 4: Simplify right side
    131,470x = 20,750,978,704
  5. Step 5: Solve for x
    x = 20,750,978,704/131,470
  6. Step 6: Final answer
    x = 157,838.13

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.