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Finding the Third Proportional to 111,506 and 162,570

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Solution

The third proportional to 111,506 and 162,570 is: 237,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,506 : 162,570 = 162,570 : x
  2. Step 2: Convert to fraction form
    111,506/162,570 = 162,570/x
  3. Step 3: Cross multiply
    111,506x = 162,570 × 162,570
  4. Step 4: Simplify right side
    111,506x = 26,429,004,900
  5. Step 5: Solve for x
    x = 26,429,004,900/111,506
  6. Step 6: Final answer
    x = 237,018.68

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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.