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Finding the Third Proportional to 114,483 and 168,413

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Solution

The third proportional to 114,483 and 168,413 is: 247,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,483 : 168,413 = 168,413 : x
  2. Step 2: Convert to fraction form
    114,483/168,413 = 168,413/x
  3. Step 3: Cross multiply
    114,483x = 168,413 × 168,413
  4. Step 4: Simplify right side
    114,483x = 28,362,938,569
  5. Step 5: Solve for x
    x = 28,362,938,569/114,483
  6. Step 6: Final answer
    x = 247,748.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.