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Finding the Third Proportional to 112,639 and 152,043.50

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Solution

The third proportional to 112,639 and 152,043.50 is: 205,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,639 : 152,043.50 = 152,043.50 : x
  2. Step 2: Convert to fraction form
    112,639/152,043.50 = 152,043.50/x
  3. Step 3: Cross multiply
    112,639x = 152,043.50 × 152,043.50
  4. Step 4: Simplify right side
    112,639x = 23,117,225,892.25
  5. Step 5: Solve for x
    x = 23,117,225,892.25/112,639
  6. Step 6: Final answer
    x = 205,232.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.