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Finding the Third Proportional to 86,254.50 and 130,938

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Solution

The third proportional to 86,254.50 and 130,938 is: 198,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,254.50 : 130,938 = 130,938 : x
  2. Step 2: Convert to fraction form
    86,254.50/130,938 = 130,938/x
  3. Step 3: Cross multiply
    86,254.50x = 130,938 × 130,938
  4. Step 4: Simplify right side
    86,254.50x = 17,144,759,844
  5. Step 5: Solve for x
    x = 17,144,759,844/86,254.50
  6. Step 6: Final answer
    x = 198,769.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.