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Finding the Third Proportional to 76,316.81 and 112,188.94

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Solution

The third proportional to 76,316.81 and 112,188.94 is: 164,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,316.81 : 112,188.94 = 112,188.94 : x
  2. Step 2: Convert to fraction form
    76,316.81/112,188.94 = 112,188.94/x
  3. Step 3: Cross multiply
    76,316.81x = 112,188.94 × 112,188.94
  4. Step 4: Simplify right side
    76,316.81x = 12,586,357,697.38
  5. Step 5: Solve for x
    x = 12,586,357,697.38/76,316.81
  6. Step 6: Final answer
    x = 164,922.48

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Why These Related Problems?

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