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Finding the Third Proportional to 76,148 and 118,557

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Solution

The third proportional to 76,148 and 118,557 is: 184,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 118,557 = 118,557 : x
  2. Step 2: Convert to fraction form
    76,148/118,557 = 118,557/x
  3. Step 3: Cross multiply
    76,148x = 118,557 × 118,557
  4. Step 4: Simplify right side
    76,148x = 14,055,762,249
  5. Step 5: Solve for x
    x = 14,055,762,249/76,148
  6. Step 6: Final answer
    x = 184,584.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.