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Finding the Third Proportional to 72,151 and 98,290.50

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Solution

The third proportional to 72,151 and 98,290.50 is: 133,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,151 : 98,290.50 = 98,290.50 : x
  2. Step 2: Convert to fraction form
    72,151/98,290.50 = 98,290.50/x
  3. Step 3: Cross multiply
    72,151x = 98,290.50 × 98,290.50
  4. Step 4: Simplify right side
    72,151x = 9,661,022,390.25
  5. Step 5: Solve for x
    x = 9,661,022,390.25/72,151
  6. Step 6: Final answer
    x = 133,900.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.