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Finding the Third Proportional to 111,402 and 147,717

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Solution

The third proportional to 111,402 and 147,717 is: 195,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,402 : 147,717 = 147,717 : x
  2. Step 2: Convert to fraction form
    111,402/147,717 = 147,717/x
  3. Step 3: Cross multiply
    111,402x = 147,717 × 147,717
  4. Step 4: Simplify right side
    111,402x = 21,820,312,089
  5. Step 5: Solve for x
    x = 21,820,312,089/111,402
  6. Step 6: Final answer
    x = 195,870.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.