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Finding the Third Proportional to 58,909 and 91,011.50

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Solution

The third proportional to 58,909 and 91,011.50 is: 140,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,909 : 91,011.50 = 91,011.50 : x
  2. Step 2: Convert to fraction form
    58,909/91,011.50 = 91,011.50/x
  3. Step 3: Cross multiply
    58,909x = 91,011.50 × 91,011.50
  4. Step 4: Simplify right side
    58,909x = 8,283,093,132.25
  5. Step 5: Solve for x
    x = 8,283,093,132.25/58,909
  6. Step 6: Final answer
    x = 140,608.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.