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Finding the Third Proportional to 77,061 and 112,924.50

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Solution

The third proportional to 77,061 and 112,924.50 is: 165,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,061 : 112,924.50 = 112,924.50 : x
  2. Step 2: Convert to fraction form
    77,061/112,924.50 = 112,924.50/x
  3. Step 3: Cross multiply
    77,061x = 112,924.50 × 112,924.50
  4. Step 4: Simplify right side
    77,061x = 12,751,942,700.25
  5. Step 5: Solve for x
    x = 12,751,942,700.25/77,061
  6. Step 6: Final answer
    x = 165,478.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.