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Finding the Third Proportional to 111,111.75 and 162,492.75

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Solution

The third proportional to 111,111.75 and 162,492.75 is: 237,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,111.75 : 162,492.75 = 162,492.75 : x
  2. Step 2: Convert to fraction form
    111,111.75/162,492.75 = 162,492.75/x
  3. Step 3: Cross multiply
    111,111.75x = 162,492.75 × 162,492.75
  4. Step 4: Simplify right side
    111,111.75x = 26,403,893,802.56
  5. Step 5: Solve for x
    x = 26,403,893,802.56/111,111.75
  6. Step 6: Final answer
    x = 237,633.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.