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Finding the Third Proportional to 76,316.55 and 112,188.16

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Solution

The third proportional to 76,316.55 and 112,188.16 is: 164,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,316.55 : 112,188.16 = 112,188.16 : x
  2. Step 2: Convert to fraction form
    76,316.55/112,188.16 = 112,188.16/x
  3. Step 3: Cross multiply
    76,316.55x = 112,188.16 × 112,188.16
  4. Step 4: Simplify right side
    76,316.55x = 12,586,184,155.71
  5. Step 5: Solve for x
    x = 12,586,184,155.71/76,316.55
  6. Step 6: Final answer
    x = 164,920.76

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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.