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Finding the Third Proportional to 74,478 and 112,413

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Solution

The third proportional to 74,478 and 112,413 is: 169,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,478 : 112,413 = 112,413 : x
  2. Step 2: Convert to fraction form
    74,478/112,413 = 112,413/x
  3. Step 3: Cross multiply
    74,478x = 112,413 × 112,413
  4. Step 4: Simplify right side
    74,478x = 12,636,682,569
  5. Step 5: Solve for x
    x = 12,636,682,569/74,478
  6. Step 6: Final answer
    x = 169,670.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.