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Finding the Third Proportional to 71,976 and 157,051.50

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Solution

The third proportional to 71,976 and 157,051.50 is: 342,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976 : 157,051.50 = 157,051.50 : x
  2. Step 2: Convert to fraction form
    71,976/157,051.50 = 157,051.50/x
  3. Step 3: Cross multiply
    71,976x = 157,051.50 × 157,051.50
  4. Step 4: Simplify right side
    71,976x = 24,665,173,652.25
  5. Step 5: Solve for x
    x = 24,665,173,652.25/71,976
  6. Step 6: Final answer
    x = 342,686.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.