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Finding the Third Proportional to 135,038 and 291,010.50

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Solution

The third proportional to 135,038 and 291,010.50 is: 627,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,038 : 291,010.50 = 291,010.50 : x
  2. Step 2: Convert to fraction form
    135,038/291,010.50 = 291,010.50/x
  3. Step 3: Cross multiply
    135,038x = 291,010.50 × 291,010.50
  4. Step 4: Simplify right side
    135,038x = 84,687,111,110.25
  5. Step 5: Solve for x
    x = 84,687,111,110.25/135,038
  6. Step 6: Final answer
    x = 627,135.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.