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Finding the Third Proportional to 113,428 and 158,947.50

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Solution

The third proportional to 113,428 and 158,947.50 is: 222,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,428 : 158,947.50 = 158,947.50 : x
  2. Step 2: Convert to fraction form
    113,428/158,947.50 = 158,947.50/x
  3. Step 3: Cross multiply
    113,428x = 158,947.50 × 158,947.50
  4. Step 4: Simplify right side
    113,428x = 25,264,307,756.25
  5. Step 5: Solve for x
    x = 25,264,307,756.25/113,428
  6. Step 6: Final answer
    x = 222,734.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.