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Finding the Third Proportional to 76,413 and 118,082

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Solution

The third proportional to 76,413 and 118,082 is: 182,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413 : 118,082 = 118,082 : x
  2. Step 2: Convert to fraction form
    76,413/118,082 = 118,082/x
  3. Step 3: Cross multiply
    76,413x = 118,082 × 118,082
  4. Step 4: Simplify right side
    76,413x = 13,943,358,724
  5. Step 5: Solve for x
    x = 13,943,358,724/76,413
  6. Step 6: Final answer
    x = 182,473.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.