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Finding the Third Proportional to 64,354 and 102,403

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Solution

The third proportional to 64,354 and 102,403 is: 162,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,354 : 102,403 = 102,403 : x
  2. Step 2: Convert to fraction form
    64,354/102,403 = 102,403/x
  3. Step 3: Cross multiply
    64,354x = 102,403 × 102,403
  4. Step 4: Simplify right side
    64,354x = 10,486,374,409
  5. Step 5: Solve for x
    x = 10,486,374,409/64,354
  6. Step 6: Final answer
    x = 162,948.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.