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Finding the Third Proportional to 76,520 and 119,316

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Solution

The third proportional to 76,520 and 119,316 is: 186,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520 : 119,316 = 119,316 : x
  2. Step 2: Convert to fraction form
    76,520/119,316 = 119,316/x
  3. Step 3: Cross multiply
    76,520x = 119,316 × 119,316
  4. Step 4: Simplify right side
    76,520x = 14,236,307,856
  5. Step 5: Solve for x
    x = 14,236,307,856/76,520
  6. Step 6: Final answer
    x = 186,046.89

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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.