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Finding the Third Proportional to 113,804 and 163,938.50

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Solution

The third proportional to 113,804 and 163,938.50 is: 236,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,804 : 163,938.50 = 163,938.50 : x
  2. Step 2: Convert to fraction form
    113,804/163,938.50 = 163,938.50/x
  3. Step 3: Cross multiply
    113,804x = 163,938.50 × 163,938.50
  4. Step 4: Simplify right side
    113,804x = 26,875,831,782.25
  5. Step 5: Solve for x
    x = 26,875,831,782.25/113,804
  6. Step 6: Final answer
    x = 236,158.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.