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Finding the Third Proportional to 45,098.25 and 70,102.50

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Solution

The third proportional to 45,098.25 and 70,102.50 is: 108,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098.25 : 70,102.50 = 70,102.50 : x
  2. Step 2: Convert to fraction form
    45,098.25/70,102.50 = 70,102.50/x
  3. Step 3: Cross multiply
    45,098.25x = 70,102.50 × 70,102.50
  4. Step 4: Simplify right side
    45,098.25x = 4,914,360,506.25
  5. Step 5: Solve for x
    x = 4,914,360,506.25/45,098.25
  6. Step 6: Final answer
    x = 108,970.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.