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Finding the Third Proportional to 81,572 and 119,202

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Solution

The third proportional to 81,572 and 119,202 is: 174,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572 : 119,202 = 119,202 : x
  2. Step 2: Convert to fraction form
    81,572/119,202 = 119,202/x
  3. Step 3: Cross multiply
    81,572x = 119,202 × 119,202
  4. Step 4: Simplify right side
    81,572x = 14,209,116,804
  5. Step 5: Solve for x
    x = 14,209,116,804/81,572
  6. Step 6: Final answer
    x = 174,191.10

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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.