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Finding the Third Proportional to 96,334.50 and 153,420

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Solution

The third proportional to 96,334.50 and 153,420 is: 244,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,334.50 : 153,420 = 153,420 : x
  2. Step 2: Convert to fraction form
    96,334.50/153,420 = 153,420/x
  3. Step 3: Cross multiply
    96,334.50x = 153,420 × 153,420
  4. Step 4: Simplify right side
    96,334.50x = 23,537,696,400
  5. Step 5: Solve for x
    x = 23,537,696,400/96,334.50
  6. Step 6: Final answer
    x = 244,332.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.