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Finding the Third Proportional to 105,471 and 162,862.50

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Solution

The third proportional to 105,471 and 162,862.50 is: 251,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471 : 162,862.50 = 162,862.50 : x
  2. Step 2: Convert to fraction form
    105,471/162,862.50 = 162,862.50/x
  3. Step 3: Cross multiply
    105,471x = 162,862.50 × 162,862.50
  4. Step 4: Simplify right side
    105,471x = 26,524,193,906.25
  5. Step 5: Solve for x
    x = 26,524,193,906.25/105,471
  6. Step 6: Final answer
    x = 251,483.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.