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Finding the Third Proportional to 46,413 and 80,919

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Solution

The third proportional to 46,413 and 80,919 is: 141,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 80,919 = 80,919 : x
  2. Step 2: Convert to fraction form
    46,413/80,919 = 80,919/x
  3. Step 3: Cross multiply
    46,413x = 80,919 × 80,919
  4. Step 4: Simplify right side
    46,413x = 6,547,884,561
  5. Step 5: Solve for x
    x = 6,547,884,561/46,413
  6. Step 6: Final answer
    x = 141,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.