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Finding the Third Proportional to 121,518 and 162,586.50

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Solution

The third proportional to 121,518 and 162,586.50 is: 217,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,518 : 162,586.50 = 162,586.50 : x
  2. Step 2: Convert to fraction form
    121,518/162,586.50 = 162,586.50/x
  3. Step 3: Cross multiply
    121,518x = 162,586.50 × 162,586.50
  4. Step 4: Simplify right side
    121,518x = 26,434,369,982.25
  5. Step 5: Solve for x
    x = 26,434,369,982.25/121,518
  6. Step 6: Final answer
    x = 217,534.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.