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Finding the Third Proportional to 73,086.75 and 112,870.13

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Solution

The third proportional to 73,086.75 and 112,870.13 is: 174,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,086.75 : 112,870.13 = 112,870.13 : x
  2. Step 2: Convert to fraction form
    73,086.75/112,870.13 = 112,870.13/x
  3. Step 3: Cross multiply
    73,086.75x = 112,870.13 × 112,870.13
  4. Step 4: Simplify right side
    73,086.75x = 12,739,665,117.52
  5. Step 5: Solve for x
    x = 12,739,665,117.52/73,086.75
  6. Step 6: Final answer
    x = 174,308.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.