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Finding the Third Proportional to 135,094.50 and 293,098.50

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Solution

The third proportional to 135,094.50 and 293,098.50 is: 635,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,094.50 : 293,098.50 = 293,098.50 : x
  2. Step 2: Convert to fraction form
    135,094.50/293,098.50 = 293,098.50/x
  3. Step 3: Cross multiply
    135,094.50x = 293,098.50 × 293,098.50
  4. Step 4: Simplify right side
    135,094.50x = 85,906,730,702.25
  5. Step 5: Solve for x
    x = 85,906,730,702.25/135,094.50
  6. Step 6: Final answer
    x = 635,901.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.