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Finding the Third Proportional to 78,277.50 and 169,058

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Solution

The third proportional to 78,277.50 and 169,058 is: 365,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,277.50 : 169,058 = 169,058 : x
  2. Step 2: Convert to fraction form
    78,277.50/169,058 = 169,058/x
  3. Step 3: Cross multiply
    78,277.50x = 169,058 × 169,058
  4. Step 4: Simplify right side
    78,277.50x = 28,580,607,364
  5. Step 5: Solve for x
    x = 28,580,607,364/78,277.50
  6. Step 6: Final answer
    x = 365,119.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.