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Finding the Third Proportional to 111,120 and 176,521.50

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Solution

The third proportional to 111,120 and 176,521.50 is: 280,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,120 : 176,521.50 = 176,521.50 : x
  2. Step 2: Convert to fraction form
    111,120/176,521.50 = 176,521.50/x
  3. Step 3: Cross multiply
    111,120x = 176,521.50 × 176,521.50
  4. Step 4: Simplify right side
    111,120x = 31,159,839,962.25
  5. Step 5: Solve for x
    x = 31,159,839,962.25/111,120
  6. Step 6: Final answer
    x = 280,416.13

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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.