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Finding the Third Proportional to 75,557.81 and 112,281.19

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Solution

The third proportional to 75,557.81 and 112,281.19 is: 166,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,557.81 : 112,281.19 = 112,281.19 : x
  2. Step 2: Convert to fraction form
    75,557.81/112,281.19 = 112,281.19/x
  3. Step 3: Cross multiply
    75,557.81x = 112,281.19 × 112,281.19
  4. Step 4: Simplify right side
    75,557.81x = 12,607,065,066.41
  5. Step 5: Solve for x
    x = 12,607,065,066.41/75,557.81
  6. Step 6: Final answer
    x = 166,853.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.