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Finding the Third Proportional to 115,005 and 158,362.50

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Solution

The third proportional to 115,005 and 158,362.50 is: 218,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 158,362.50 = 158,362.50 : x
  2. Step 2: Convert to fraction form
    115,005/158,362.50 = 158,362.50/x
  3. Step 3: Cross multiply
    115,005x = 158,362.50 × 158,362.50
  4. Step 4: Simplify right side
    115,005x = 25,078,681,406.25
  5. Step 5: Solve for x
    x = 25,078,681,406.25/115,005
  6. Step 6: Final answer
    x = 218,066.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.