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Finding the Third Proportional to 96,213 and 151,128

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Solution

The third proportional to 96,213 and 151,128 is: 237,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,213 : 151,128 = 151,128 : x
  2. Step 2: Convert to fraction form
    96,213/151,128 = 151,128/x
  3. Step 3: Cross multiply
    96,213x = 151,128 × 151,128
  4. Step 4: Simplify right side
    96,213x = 22,839,672,384
  5. Step 5: Solve for x
    x = 22,839,672,384/96,213
  6. Step 6: Final answer
    x = 237,386.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.