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Finding the Third Proportional to 116,943 and 162,931.50

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Solution

The third proportional to 116,943 and 162,931.50 is: 227,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,943 : 162,931.50 = 162,931.50 : x
  2. Step 2: Convert to fraction form
    116,943/162,931.50 = 162,931.50/x
  3. Step 3: Cross multiply
    116,943x = 162,931.50 × 162,931.50
  4. Step 4: Simplify right side
    116,943x = 26,546,673,692.25
  5. Step 5: Solve for x
    x = 26,546,673,692.25/116,943
  6. Step 6: Final answer
    x = 227,005.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.