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Finding the Third Proportional to 48,196 and 75,369

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Solution

The third proportional to 48,196 and 75,369 is: 117,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,196 : 75,369 = 75,369 : x
  2. Step 2: Convert to fraction form
    48,196/75,369 = 75,369/x
  3. Step 3: Cross multiply
    48,196x = 75,369 × 75,369
  4. Step 4: Simplify right side
    48,196x = 5,680,486,161
  5. Step 5: Solve for x
    x = 5,680,486,161/48,196
  6. Step 6: Final answer
    x = 117,862.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.